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Book Information

Author(s): Michael Aschbacher
Title: 3-Transposition groups
Additional book information: Cambridge University Press, 1997, 260+vii, $49.94, ISBN 0-521-57196-0

1.: M. Aschbacher, Finite groups generated by odd transpositions I, Math. Z. 127 (1972), 45-56. MR 46:9161
2.: M. Aschbacher, On finite groups of component type, Ill. J. Math 19 (1975), 87-115. MR 51:13018
3.: M. Aschbacher, On finite groups in which the generalized Fitting group of the centralizer of some involution is extra-special, Ill. J. Math. 21 (1977), 347-364. MR 56:477
4.: M. Aschbacher, Finite Group Theory, Cambridge University Press, Cambridge, 1986. MR 89b:20001
5.: M. Aschbacher, Sporadic Groups, Cambridge University Press, Cambridge, 1994. MR 96e:20020
6.: R. Brauer, On the structure of groups of finite order, Proc. Int. Cong. Math. 1954, vol. 1, 1-9, reprinted in Richard Brauer: Collected Papers, vol. 2, eds. P. Fong, W.J. Wong, MIT Press, 1980, 69-77. MR 20:1709
7.: J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker, R.A. Wilson, An Atlas of Finite Groups, Oxford Univ. Press, Oxford, 1985. MR 88g:20025
8.: H. Cuypers and J.I. Hall, The $3$ -transposition groups with trivial center, J. Algebra 178 (1995), 149-193. MR 96k:20056
9.: B. Fischer, Distributive Quasigruppen endlicher Ordnung, Math. Zeit. 83 (1964), 267-303. MR 28:4055
10.: B. Fischer, A characterization of the symmetric groups on $4$ and $5$ letters, J. Algebra 3 (1966), 88-98. MR 33:2708
11.: B. Fischer, Finite groups generated by $3$ -transpositions, Invent. Math. 13 (1971), 232-246. MR 45:3557
12.: D. Gorenstein, Finite Simple Groups: An Introduction to their Classification, Plenum Press, New York, 1982. MR 84j:20002
13.: G. Glauberman, On loops of odd order, I, J. Algebra 1 (1964), 374-396, II, J. Algebra 8 (1968), 393-414. MR 31:267
14.: G. Glauberman, Central elements in core-free groups, J. Algebra 4 (1966), 403-420. MR 34:2681
15.: M. Suzuki, On characterizations of linear groups II, Trans. Amer. Math. Soc. 92 (1959), 205-219. MR 21:7252
16.: F. Timmesfeld, Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extra-special, Ann. of Math. 107 (1978), 297-369. MR 81i:20016a
17.: F. Timmesfeld, Groups generated by $k$ -root subgroups, Invent. Math.106 (1991), 575-666. MR 92j:20026
18.: M.-M. Virotte-Ducharme, Couple fischériens presque simple, Thèse, Université Paris 7, 1985.
19.: G.E. Wall, On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austral. Math. Soc. 3 (1963), 1-62. MR 27:212
20.: R. Weiss, A uniqueness lemma for groups generated by $3$ -transpositions, Math. Proc. Camb. Phil. Soc. 97 (1985), 421-431. MR 86h:20036
21.: F. Zara, Classification des couples fischeriens, Thèse Université de Picardie, 1984.

Reviewer(s):
Jonathan I. Hall
Affiliation: Michigan State University
Email: jhall@math.msu.edu

MSC (1991): Primary 20D08; Secondary 20D05, 20E32
DOI: 10.1090/S0273-0979-98-00741-1
PII: S 0273-0979(98)00741-1
Keywords: Sporadic groups, finite simple groups, $3$-transposition groups
Copyright of article: Copyright 1998, American Mathematical Society

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