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Book Review
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Book Information
Author(s):
Michael Aschbacher and Stephen D. Smith
Title:
The classification of quasithin groups I, II
Additional book information:
Mathematical Surveys and Monographs, vols. 111--112, American Mathematical Society,
Providence, RI,
2004,
1221,
US$228.00,
0-8218-3410-X (Vol. 111), 0-8218-3411-8 (Vol. 112)
References:
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- [A1]
-
M. Aschbacher, On finite groups of component type, Illinois J. Math. 19 (1975), 78-115. MR 0376843 (51:13018) - [A2]
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- [A3]
- M. Aschbacher, Thin finite simple groups, J. Algebra 54 (1978), 50-152. MR 0511458 (82j:20032)
- [A4]
- M. Aschbacher, Finite groups of rank
. I, II, Invent. Math. 63 (1981), 357-402; Invent. Math. 71 (1983), 51-163. MR 0620676 (82j:20033), MR 0688262 (84h:20008) - [A5]
- M. Aschbacher, The uniqueness case for finite groups. I, II, Ann. of Math. (2) 117 (1983), 383-454, 455-551. MR 0690850 (84g:20021a)
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- H. Bender, Transitive Gruppen gerader Ordnung in dene jene Involution genau einen Punkt festlässt, J. Algebra 17 (1971), 527-554. MR 0288172 (44:5370)
- [DGS]
- A. Delgado, D. Goldschmidt, and B. Stellmacher, Groups and graphs: New results and methods, DMV Seminar, vol. 6, Birkhäuser, Basel, 1985. MR 0862622 (88a:05076)
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- W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775-1029. MR 0166261 (29:3538)
- [GG]
- R. Gilman and R. L. Griess, Finite groups with standard components of Lie type over fields of characteristic two, J. Algebra 80 (1983), 383-516. MR 0691810 (84g:20024)
- [Gl]
- G. Glauberman, On solvable signalizer functors in finite groups, Proc. London Math. Soc. 33 (1976), 1-27. MR 0417284 (54:5341)
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- D. M. Goldschmidt, Automorphisms of trivalent graphs, Ann. of Math. (2) 111 (1980), 377-406. MR 0569075 (82a:05052)
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- D. Gorenstein and K. Harada, Finite groups whose
-subgroups are generated by at most elements, Memoirs Amer. Math. Soc. 147 (1974). MR 0367048 (51:3290) - [GL]
- D. Gorenstein and R. Lyons, The local structure of finite groups of characteristic
-type, Memoirs Amer. Math. Soc. 276 (1983). MR 0690900 (84g:20025) - [GLS]
- D. Gorenstein, R. Lyons, and R. Solomon, The Classification of the Finite Simple Groups, Nos. 1,2,3,4,5,6, Mathematical Surveys and Monographs, vol. 40, Amer. Math. Soc., Providence, RI, 1994, 1996, 1998, 1999, 2002, 2005. MR 1303592 (95m:20014), MR 1358135 (96h:20032), MR 1490581 (98j:20011), MR 1675976 (2000c:20028), MR 1923000 (2003h:20028), MR 2104668
- [GW]
- D. Gorenstein and J. H. Walter, Balance and generation in finite groups, J. Algebra 33 (1975), 224-287. MR 0357583 (50:10051)
- [St]
- B. Stellmacher, An application of the amalgam method: The
-local structure of -groups of characteristic -type, J. Algebra 190 (1997), 11-67. MR 1442145 (98d:20018) - [Th]
- J. G. Thompson, Nonsolvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc. 74 (1968), 383-437; Pacific J. Math. 33 (1970), 451-536; Pacific J. Math. 39 (1971), 483-534; Pacific J. Math. 48 (1973), 511-592; Pacific J. Math. 50 (1974), 215-297; Pacific J. Math. 51 (1974), 573-630. MR 0230809 (37:6367), MR 0276325 (43:2072), MR 0313378 (47:1933), MR 0369512 (51:5745)
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- F. G. Timmesfeld, Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial, Ann. of Math. (2) 107 (1978), 297-369. MR 0486255 (81i:20016a)
Additional Information:
Reviewer(s):
Ronald
Solomon
Affiliation:
The Ohio State University
Email:
solomon@math.ohio-state.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
115-121.
MSC
(2000):
Primary 20D05;
Secondary 20C20
DOI:
10.1090/S0273-0979-05-01071-2
PII:
S 0273-0979(05)01071-2
Posted:
July 5, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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