博文

斯蒂芬·斯密斯与迈克尔·乔治·阿苏巴赫·研究成果简介

已有 2389 次阅读 2022-9-21 22:12 |个人分类:数学研究|系统分类:人物纪事

斯蒂芬·斯密斯与迈克尔·乔治·阿苏巴赫研究成果简介

诸平

冯老师要我帮助查阅斯蒂芬·斯密斯（Stephen D. Smith）与迈克尔·乔治·阿苏巴赫（Michael George Aschbacher）的相关研究成果。通过美国《数学评论》（MR）数据库和德国《数学文摘》（zbMATH）数据库进行检索，现将部分检索结果介绍如下，仅供参考。

1. 斯蒂芬·斯密斯（Stephen D. Smith）简介

Stephen D. Smith Professor Emeritus, Mathematics
University of Illinois at Chicago
smiths@uic.edu

更多信息请浏览：http://homepages.math.uic.edu/~smiths/

1.1. 斯蒂芬·斯密斯与迈克尔·乔治·阿舍巴赫成果统计结果

Year	Smith, Stephen D.		zbMATH（135）
Year	zbMATH（68）	MR Lookup（63）	Aschbacher, Michael George
1971	0	0	3
1972	0	0	3
1973	2	1	8
1974	1	1	3
1975	0	0	3
1976	4	4	7
1977	2	2	2
1978	1	1	3
1979	4	3	1
1980	4	3	6
1981	2	2	9
1982	3	3	4
1983	1	1	4
1984	1	0	5
1985	6	7	2
1986	2	2	3
1987	1	1	4
1988	3	3	4
1989	4	4	1
1990	3	3	6
1991	1	1	2
1992	1	1	7
1993	1	1	4
1994	3	3	1
1995	1	1	1
1996	2	2	1
1997	1	2	1
1998	1	1	5
1999	0	0	0
2000	0	1	3
2001	0	0	2
2002	0	0	2
2003	0	0	2
2004	2	2	4
2005	0	0	2
2006	1	1	2
2007	0	0	2
2008	1	1	5
2009	0	0	4
2010	0	0	2
2011	2	2	3
2012	0	0	1
2013	0	0	3
2014	1	0	1
2015	0	0	0
2016	1	0	3
2017	1	0	1
2018	2	2	0
2019	1	0	1
2020	0	0	2
2021	0	0	4
2022	1	1	1
合计	68	63	135

1.2. 斯蒂芬·斯密斯被引最高的前5项

54 Publications have been cited 463 times in 327 Documents	Cited by ▼	Year
Irreducible modules and parabolic subgroups. Zbl 0496.20030 Smith, Stephen D.	74	1982
Sheaves on buildings and modular representations of Chevalley groups. Zbl 0604.20043 Ronan, Mark A.; Smith, Stephen D.	37	1985
2-local geometries for some sporadic groups. Zbl 0478.20015 Ronan, M. A.; Smith, S. D.	34	1980
The classification of quasithin groups. I: Structure of strongly quasithin KK-groups. Zbl 1065.20023 Aschbacher, Michael; Smith, Stephen D.	22	2004
On finite groups with a certain Sylow normalizer. II. Zbl 0264.20013 Smith, Stephen D.; Tyrer, A. P.	21	1973

1.3. 斯蒂芬·斯密斯部分成果题录

Piterman, Kevin Iván; Smith, Stephen D. Eliminating components in Quillen's conjecture. J. Algebra 607 (2022), part A, 681--732. MR4441345

Smith, Stephen D. A survey: Bob Griess's work on simple groups and their classification. Bull. Inst. Math. Acad. Sin. (N.S.) 13 (2018), no. 4, 365--382. MR3888877

Smith, Stephen D. Applying the classification of finite simple groups. A user's guide. Mathematical Surveys and Monographs, 230. American Mathematical Society, Providence, RI, 2018. xiii+231 pp. ISBN: 978-1-4704-4291-0 MR3753581

Smith, Stephen D. Subgroup complexes. Mathematical Surveys and Monographs, 179. American Mathematical Society, Providence, RI, 2011. xii+364 pp. ISBN: 978-0-8218-0501-5 MR2850680

Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald. The classification of finite simple groups. Groups of characteristic 2 type. Mathematical Surveys and Monographs, 172. American Mathematical Society, Providence, RI, 2011. xii+347 pp. ISBN: 978-0-8218-5336-8 MR2778190

Benson, David J.; Smith, Stephen D. Classifying spaces of sporadic groups. Mathematical Surveys and Monographs, 147. American Mathematical Society, Providence, RI, 2008. xvi+289 pp. ISBN: 978-0-8218-4474-8 MR2378355

Grodal, Jesper; Smith, Stephen D. Propagating sharp group homology decompositions. Adv. Math. 200 (2006), no. 2, 525--538. MR2200855

Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. II. Main theorems: the classification of simple QTKE-groups. Mathematical Surveys and Monographs, 112. American Mathematical Society, Providence, RI, 2004. pp. i--xii and 479--1221. ISBN: 0-8218-3411-8 MR2097624

Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. I. Structure of strongly quasithin $K$-groups. Mathematical Surveys and Monographs, 111. American Mathematical Society, Providence, RI, 2004. xiv+477 pp. ISBN: 0-8218-3410-X MR2097623

Smith, Stephen D. Remarks on "financial services integration: right for some, wrong for others?''. N. Am. Actuar. J. 4 (2000), no. 3, 109--110. MR1977329

Aschbacher, Michael G.; Smith, Stephen D. Quasithin groups. Groups and geometries (Siena, 1996), 1--7, Trends Math., Birkhäuser, Basel, 1998. MR1644971

Cummins, J. David; Phillips, Richard D.; Smith, Stephen D. Corporate hedging in the insurance industry: the use of financial derivatives by U.S. insurers. N. Am. Actuar. J. 1 (1997), no. 1, 13--49. MR2012083

Smith, Stephen D.; Yoshiara, Satoshi. Some homotopy equivalences for sporadic geometries. J. Algebra 192 (1997), no. 1, 326--379. MR1449965

Smith, Stephen D. A block complex collapsing to the Brauer tree. Groups, difference sets, and the Monster (Columbus, OH, 1993), 93--97, Ohio State Univ. Math. Res. Inst. Publ., 4, de Gruyter, Berlin, 1996. MR1400411

Smith, Stephen D.; Umland, Kristin L. Stability of cohomology via double-coset products and suborbit diagrams. J. Algebra 182 (1996), no. 3, 627--652. MR1398114

Smith, Stephen D.; Yoshiara, Satoshi. Group geometries and error-correcting codes. J. Algebra 175 (1995), no. 1, 199--211. MR1338975

Griess, Robert L., Jr.; Smith, Stephen D. Minimal dimensions for modular representations of the Monster. Comm. Algebra 22 (1994), no. 15, 6279--6294. MR1303004

Smith, Stephen D. Universality of the $24$-dimensional embedding of the $\cdot 1\ 2$-local geometry. Comm. Algebra 22 (1994), no. 13, 5159--5166. MR1291025

Smith, Stephen D. The dual-parapolar space for the Monster embeds in the Griess module ${\rm Mod}\, 2$. Algebraic combinatorics (Vladimir, 1991). European J. Combin. 15 (1994), no. 1, 57--65. MR1257675

Aschbacher, Michael; Smith, Stephen D. On Quillen's conjecture for the $p$-groups complex. Ann. of Math. (2) 137 (1993), no. 3, 473--529. MR1217346

Frohardt, Daniel E.; Smith, Stephen D. Universal embeddings for the ${}^3\!D_4(2)$ hexagon and $J_2$ near-octagon. European J. Combin. 13 (1992), no. 6, 455--472. MR1193554

Smith, Stephen D. Weights and covers of chamber systems. Geom. Dedicata 37 (1991), no. 1, 103--118. MR1094229

Cohen, Steve M.; Smith, Stephen D. A geometric presentation of the $26$-dimensional module for $F_4(q)$. J. Algebra 132 (1990), no. 2, 474--487. MR1061492

Smith, Stephen D. On decomposition of modular representations from Cohen-Macaulay geometries. J. Algebra 131 (1990), no. 2, 598--625. MR1058568

Ryba, A. J. E.; Smith, Stephen D.; Yoshiara, Satoshi. Some projective modules determined by sporadic geometries. J. Algebra 129 (1990), no. 2, 279--311. MR1040940

Smith, Stephen D. Quadratic action and the natural module for ${\rm SL}_2(k)$. J. Algebra 127 (1989), no. 1, 155--162. MR1029409

Smith, Stephen D.; Völklein, Helmut. A geometric presentation for the adjoint module of ${\rm SL}_3(k)$. J. Algebra 127 (1989), no. 1, 127--138. MR1029407

Smith, Stephen D. A geometric condition for incidence-matrix nullvectors. J. Combin. Theory Ser. A 51 (1989), no. 1, 129--134. MR0993657

Ronan, Mark A.; Smith, Stephen D.

Computation of 2-modular sheaves and representations for L₄(2), A₇, 3S₆, and M₂₄. (English) Zbl 0676.20007

Commun. Algebra 17, No. 5, 1199-1237 (1989).

Reviewer: G.Stroth

MSC: 20C20 20G10 20D05 20J05 51E25 51D20

Smith, Stephen D. Construction of group representations from geometries. Computers in algebra (Chicago, IL, 1985), 143--149, Lecture Notes in Pure and Appl. Math., 111, Dekker, New York, 1988. MR1060765

Smith, Stephen D. Geometric methods in group theory. Algebraic, extremal and metric combinatorics, 1986 (Montreal, PQ, 1986), 219--237, London Math. Soc. Lecture Note Ser., 131, Cambridge Univ. Press, Cambridge, 1988. MR1052669

Smith, Stephen D. Geometric techniques in representation theory. Geometries and groups (Noordwijkerhout, 1986). Geom. Dedicata 25 (1988), no. 1-3, 355--373. MR0925842

Smith, Stephen D. Constructing representations from group geometries. The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), 303--313, Proc. Sympos. Pure Math., 47, Part 1, Amer. Math. Soc., Providence, RI, 1987. MR0933367

Ronan, Mark A.; Smith, Stephen D. Universal presheaves on group geometries, and modular representations. J. Algebra 102 (1986), no. 1, 135--154. MR0853235

Segev, Yoav; Smith, Stephen D. Apartments and the Cayley-algebra module for $G_2(k)$. Comm. Algebra 14 (1986), no. 3, 493--506. MR0823350

Smith, Stephen D. Homology representations from group geometries. Proceedings of the conference on groups and geometry, Part B (Madison, Wis., 1985). Algebras Groups Geom. 2 (1985), no. 4, 514--540. MR0852422

Smith, Stephen D. Residual geometries for sporadic and classical groups—a survey. Finite groups—coming of age (Montreal, Que., 1982), 315--334, Contemp. Math., 45, Amer. Math. Soc., Providence, RI, 1985. MR0822246

Smith, Stephen D. On the head characters of the Monster simple group. Finite groups—coming of age (Montreal, Que., 1982), 303--313, Contemp. Math., 45, Amer. Math. Soc., Providence, RI, 1985. MR0822245

Ronan, Mark A.; Smith, Stephen D. Sheaves on buildings and modular representations of Chevalley groups. J. Algebra 96 (1985), no. 2, 319--346. MR0810532

Smith, Stephen D. Sheaf homology and complete reducibility. J. Algebra 95 (1985), no. 1, 72--80. MR0797655

Smith, Stephen D. Sheaf homology for truncated buildings of type $M_{24}/{\rm Sp}_8(2)$. J. Algebra 95 (1985), no. 1, 1--19. MR0797650

Smith, Stephen D.

Homology representations from group geometries. (English) Zbl 0596.20027

Algebras Groups Geom. 2, 514-540 (1985).

Reviewer: E.I.Huhro

MSC: 20F69 20C05 20J05 05B25 51D20

Aschbacher, Michael; Smith, Stephen D. Tits geometries over ${\rm GF}(2)$ defined by groups over ${\rm GF}(3)$. Comm. Algebra 11 (1983), no. 15, 1675--1684. MR0702413

Mason, Geoffrey; Smith, Stephen D. Minimal $2$-local geometries for the Held and Rudvalis sporadic groups. J. Algebra 79 (1982), no. 2, part 1, 286--306. MR0682880

Smith, Stephen D. Spin modules in characteristic $2$. J. Algebra 77 (1982), no. 2, 392--401. MR0673123

Smith, Stephen D. Irreducible modules and parabolic subgroups. J. Algebra 75 (1982), no. 1, 286--289. MR0650422

Smith, Stephen D. A characterization of symplectic groups over ${\rm GF}(2)$. J. Algebra 72 (1981), no. 2, 456--477. MR0641336

Smith, Stephen D. A characterization of some Chevalley groups in characteristic two. J. Algebra 68 (1981), no. 2, 390--425. MR0608542

Smith, Stephen D. The classification of finite groups with large extraspecial $2$-subgroups. The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), pp. 111--120, Proc. Sympos. Pure Math., 37, Amer. Math. Soc., Providence, R.I., 1980. MR0604567

Smith, Stephen D. A characterization of finite Chevalley and twisted groups of type $E$ over ${\rm GF}(2)$. J. Algebra 62 (1980), no. 1, 101--117. MR0561119

Smith, Stephen D. A characterization of orthogonal groups over ${\rm GF}(2)$. J. Algebra 62 (1980), no. 1, 39--60. MR0561116

Ferguson, Pamela A.; Smith, Stephen D. Strongly self-centralizing Sylow $3$-groups. J. Algebra 58 (1979), no. 2, 572--580. MR0540659

Ferguson, Pamela A.; Smith, Stephen D.

Strongly self-centralizing Sylow 3-groups. (English) Zbl 0416.20012

J. Algebra 58, 572-580 (1979).

MSC: 20D05 20D25 20C15

Smith, Stephen D. Large extraspecial subgroups of widths $4$ and $6$. J. Algebra 58 (1979), no. 2, 251--281. MR0540638

Smith, Stephen D.

Large extraspecial subgroups of widths 4 and 6. (English) Zbl 0411.20009

J. Algebra 58, 251-281 (1979).

MSC: 20D05 20D08

Smith, Stephen D. On maximal-class $3$-groups and strong $3$-embedding. J. Algebra 56 (1979), no. 2, 396--400. MR0528583

Smith, Stephen D.

On maximal-class 3-groups and strong 3-embedding. (English) Zbl 0402.20021

J. Algebra 56, 396-400 (1979).

MSC: 20D20 20D10 20C20

Hyatt, G. W.; Smith, St. D.; Raghavan, T. E. S.

Game theory models of intermale combat in fiddler crabs (Genus Uca). (English) Zbl 0415.92004

Applied game theory, Proc. Conf. Inst. adv. Stud., Vienna 1978, IHS-Stud. 1, 414-429 (1979).

MSC: 92B05 91A80 92D25

Smith, Stephen D. Even automizers and conjugacy of involutions. J. Algebra 54 (1978), no. 2, 504--515. MR0514082

Smith, Stephen D. Nonassociative commutative algebras for triple covers of $3$-transposition groups. Michigan Math. J. 24 (1977), no. 3, 273--287. MR0491931

Smith, Stephen D. Sylow automizers of odd order. J. Algebra 46 (1977), no. 2, 523--543. MR0439923

Smith, Stephen D. Sylow automizers of odd order or an application of coherence. Proceedings of the Conference on Finite Groups (Univ. Utah, Park City, Utah, 1975), pp. 445--449. Academic Press, New York, 1976. MR0417282

Smith, Stephen D. On $p$-singular control of $p$-regular character values. J. Algebra 39 (1976), no. 1, 255--276. MR0401894

Smith, Stephen D. Some methods in the theory of blocks of characters. J. Algebra 39 (1976), no. 2, 360--374. MR0401893

Isaacs, I. M.; Smith, Stephen D. A note on groups of $p$-length $1$. J. Algebra 38 (1976), no. 2, 531--535. MR0393215

Smith, Stephen D. On finite groups with a certain Sylow normalizer. III. J. Algebra 29 (1974), 489--503. MR0346049

Smith, Stephen D.; Tyrer, A. P. On finite groups with a certain Sylow normalizer. I, II. J. Algebra 26 (1973), 343--365; ibid. {\bf 26} (1973), 366--367. MR0323888

AUTHOR = {Smith, Stephen D. and Tyrer, A. P.},

 TITLE = {On finite groups with a certain {S}ylow normalizer. {II}},

 JOURNAL = {J. Algebra},

 FJOURNAL = {Journal of Algebra},

 VOLUME = {26},

 YEAR = {1973},

 PAGES = {366--367},

 ISSN = {0021-8693},

 MRCLASS = {20C20},

 MRNUMBER = {MR0323888 (48 \#2241)},

 MRREVIEWER = {I.  M.  Isaacs},

Smith, S.D; Tyrer, A.P, On finite groups with a certain Sylow normalizer, J. algebra, 26, 343-365, (1973) · Zbl 0264.20012

AUTHOR = {Smith, Stephen D. and Tyrer, A. P.},

TITLE = {On finite groups with a certain {S}ylow normalizer. {I}},

JOURNAL = {J. Algebra},

FJOURNAL = {Journal of Algebra},

VOLUME = {26},

YEAR = {1973},

PAGES = {343--365},

ISSN = {0021-8693},

MRCLASS = {20C20},

MRNUMBER = {MR0323888 (48 \#2241)},

MRREVIEWER = {I. M. Isaacs},

更多信息，请浏览：http://homepages.math.uic.edu/~smiths/smithbib.html

1.4. 斯蒂芬·斯密斯的6部著作（6 Books）

No	6 Books
1	Smith, Stephen D. Applying the classification of finite simple groups. A user’s guide. (English) Zbl 1415.20004 Mathematical Surveys and Monographs 230. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4291-0/hbk; 978-1-4704-4682-6/ebook). xiii, 231 p. (2018). Reviewer: Robert Wilson (London) MSC: 20-02 20D05 20Bxx 20Cxx 20E32
2	Smith, Stephen D. Subgroup complexes. (English) Zbl 1239.20001 Mathematical Surveys and Monographs 179. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-0501-5/hbk). xii, 364 p. (2011). Reviewer: Martin D. Crossley (Swansea) MSC: 20-02 20D30 55U10 20E42 20J05 05E18 20D05 20D06 20D08 20C33 20C34
3	Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald The classification of finite simple groups. Groups of characteristic 2 type. (English) Zbl 1218.20007 Mathematical Surveys and Monographs 172. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5336-8/hbk). xii, 347 p. (2011). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D20
4	Benson, David J.; Smith, Stephen D. Classifying spaces of sporadic groups. (English) Zbl 1135.20001 Mathematical Surveys and Monographs 147. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4474-8/hbk). xvi, 289 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 20-02 20D08 20J06 55-02 55R35 20J05 55R40
5	Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. (English) Zbl 1065.20024 Mathematical Surveys and Monographs 112. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3411-8/hbk). xii, pp. 479-1221. (2004). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D06 20D08
6	Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. I: Structure of strongly quasithin KK-groups. (English) Zbl 1065.20023 Mathematical Surveys and Monographs 111. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3410-X/hbk). xiv, 477 p. (2004). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D06 20D08

2 迈克尔·乔治·阿苏巴赫（Aschbacher, Michael George）研究成果

2.1迈克尔·乔治·阿苏巴赫简介

Michael Aschbacher

Shaler Arthur Hanisch Professor of Mathematics, Emeritus

Contact information for Michael Aschbacher
Email:	asch@its.caltech.edu

Research Website Personal Website

B.S., Caltech, 1966;

Ph.D., University of Wisconsin, 1969.

Bateman Research Instructor, Caltech, 1970-72;

Assistant Professor, 1972-74;

Associate Professor, 1974-76;

Professor, 1976-96;

Hanisch Professor, 1996-2013;

Hanisch Professor, Emeritus, 2013-;

Executive Officer for Mathematics, 1991-94.

Research Areas: Mathematics

Michael G. Aschbacher is the Shaler Arthur Hanisch Professor of Mathematics at the California Institute of Technology. He is a member of the National Academy of Sciences. Aschbacher is best known for his work on finite groups. He was a leading figure in the completion of the classification of finite simple groups in the 1970s and 1980s. It later turned out that the classification was incomplete, because the case of quasithin groups had not been finished. This gap was fixed by Aschbacher and Stephen D. Smith in 2004, in a pair of books comprising about 1300 pages. The classification of finite simple groups is considered one of the crowning achievements of modern mathematics. In 2012 he received the Leroy P. Steele Prize for Mathematical Exposition and the Wolf Prize in Mathematics, and became a fellow of the American Mathematical Society. Aschbacher served as vice president of the AMS from 1996 to 1998.

https://pantheon.world/profile/person/Michael_Aschbacher/

2.2 《德国数学文摘》（zbMATH）收录统计结果

参看前述统计表，最新统计结果自1971年以来有148项成果被zbMATH数据库收录，其中包括著作15部（including 15 Books）

360截图20220921214257840.jpg

2.3 zbMATH数据库收录逐年收录量

360截图20220921214324918.jpg

2.4 zbMATH数据库高引前5项成果

Citations contained in zbMATH Open

135 Publications have been cited 2,688 times in 1,772 Documents	Cited by ▼	Year
On the maximal subgroups of the finite classical groups. Zbl 0537.20023 Aschbacher, M.	294	1984
Finite group theory. Zbl 0583.20001 Aschbacher, Michael	288	1986
Involutions in Chevalley groups over fields of even order. Zbl 0359.20014 Aschbacher, Michael; Seitz, Gary M.	193	1976
Fusion systems in algebra and topology. Zbl 1255.20001 Aschbacher, Michael; Kessar, Radha; Oliver, Bob	116	2011
Some applications of the first cohomology group. Zbl 0554.20017 Aschbacher, M.; Guralnick, R.	112	1984

2.5 15部著作题录

Aschbacher, Michael

Quaternion fusion packets. (English) Zbl 07376110

Contemporary Mathematics 765. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5665-8/pbk; 978-1-4704-6421-9/ebook). vii, 444 p. (2021).

MSC: 20D05 20C20

Aschbacher, Michael

On fusion systems of component type. (English) Zbl 1481.20001

Memoirs of the American Mathematical Society 1236. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3520-2/pbk; 978-1-4704-4955-1/ebook). v, 182 p. (2019).

Reviewer: Mohammad-Reza Darafsheh (Tehran)

MSC: 20-02 20D05 20D20 20D30 55R35

Aschbacher, Michael

Overgroups of root groups in classical groups. (English) Zbl 1406.20021

Mem. Am. Math. Soc. 1140, vi, 188 p. (2016).

MSC: 20D06 20E28 20G40 20D30

Aschbacher, Michael; Kessar, Radha; Oliver, Bob

Fusion systems in algebra and topology. (English) Zbl 1255.20001

London Mathematical Society Lecture Note Series 391. Cambridge: Cambridge University Press (ISBN 978-1-107-60100-0/pbk). vi, 320 p. (2011).

Reviewer: Corina Mohorianu (Iaşi)

MSC: 20-02 20C20 20D20 55R35 55R40 20C33 20D60 20J15 55Q99 55P99