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Book Information:

Authors: Michael Aschbacher and Stephen D. Smith
Title: The classification of quasithin groups I, II
Additional book information: Vol. 111, Mathematical Surveys and Monographs, vols. 111--112, American Mathematical Society, Providence, RI, 2004, 1221 pp., ISBN 0-8218-3410-X, US$228.00$; ISBN 0-8218-3411-8

Michael Aschbacher, On finite groups of component type, Illinois J. Math. 19 (1975), 87–115. MR 376843

Michael Aschbacher, A characterization of Chevalley groups over fields of odd order, Ann. of Math. (2) 106 (1977), no. 2, 353–398. MR 498828, DOI 10.2307/1971100

Michael Aschbacher, Thin finite simple groups, J. Algebra 54 (1978), no. 1, 50–152. MR 511458, DOI 10.1016/0021-8693(78)90022-4

Michael Aschbacher, Finite groups of rank $3$. I, Invent. Math. 63 (1981), no. 3, 357–402. MR 620676, DOI 10.1007/BF01389061

Michael Aschbacher, The uniqueness case for finite groups. I, Ann. of Math. (2) 117 (1983), no. 2, 383–454. MR 690850, DOI 10.2307/2007081

Helmut Bender, Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläßt, J. Algebra 17 (1971), 527–554 (German). MR 288172, DOI 10.1016/0021-8693(71)90008-1

A. Delgado, D. Goldschmidt, and B. Stellmacher, Groups and graphs: new results and methods, DMV Seminar, vol. 6, Birkhäuser Verlag, Basel, 1985. With a preface by the authors and Bernd Fischer. MR 862622

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George Glauberman, On solvable signalizer functors in finite groups, Proc. London Math. Soc. (3) 33 (1976), no. 1, 1–27. MR 417284, DOI 10.1112/plms/s3-33.1.1

David M. Goldschmidt, Automorphisms of trivalent graphs, Ann. of Math. (2) 111 (1980), no. 2, 377–406. MR 569075, DOI 10.2307/1971203

Daniel Gorenstein and Koichiro Harada, Finite groups whose $2$-subgroups are generated by at most $4$ elements, Memoirs of the American Mathematical Society, No. 147, American Mathematical Society, Providence, R.I., 1974. MR 0367048

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Daniel Gorenstein, Richard Lyons, and Ronald Solomon, The classification of the finite simple groups, Mathematical Surveys and Monographs, vol. 40, American Mathematical Society, Providence, RI, 1994. MR 1303592, DOI 10.1090/surv/040.1

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Bernd Stellmacher, An application of the amalgam method: the $2$-local structure of $N$-groups of characteristic $2$ type, J. Algebra 190 (1997), no. 1, 11–67. MR 1442145, DOI 10.1006/jabr.1996.6864

John G. Thompson, Nonsolvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc. 74 (1968), 383–437. MR 230809, DOI 10.1090/S0002-9904-1968-11953-6

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Review Information:

Reviewer: Ronald Solomon
Affiliation: The Ohio State University
Email: solomon@math.ohio-state.edu

Journal: Bull. Amer. Math. Soc. 43 (2006), 115-121
Published electronically: July 5, 2005
Review copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.