Book Review
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MathSciNet review:
1567946
Full text of review:
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Book Information:
Authors:
Peter Kleidman and
Martin Liebeck
Title:
The subgroup structure of the finite classical groups
Additional book information:
London Mathematical Society Lecture Note Series, vol. 129, Cambridge University Press, Cambridge, 1990, vii + 303 pp., $29.95. ISBN 0-521-35949-X.
M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984), no. 3, 469–514. MR 746539, DOI 10.1007/BF01388470
Michael Aschbacher, Finite simple groups and their subgroups, Group theory, Beijing 1984, Lecture Notes in Math., vol. 1185, Springer, Berlin, 1986, pp. 1–57. MR 842439, DOI 10.1007/BFb0076170
M. Aschbacher and L. Scott, Maximal subgroups of finite groups, J. Algebra 92 (1985), no. 1, 44–80. MR 772471, DOI 10.1016/0021-8693(85)90145-0
Martin W. Liebeck, Cheryl E. Praeger, and Jan Saxl, A classification of the maximal subgroups of the finite alternating and symmetric groups, J. Algebra 111 (1987), no. 2, 365–383. MR 916173, DOI 10.1016/0021-8693(87)90223-7
Gary M. Seitz, The maximal subgroups of classical algebraic groups, Mem. Amer. Math. Soc. 67 (1987), no. 365, iv+286. MR 888704, DOI 10.1090/memo/0365
Gary M. Seitz, Representations and maximal subgroups of finite groups of Lie type, Geom. Dedicata 25 (1988), no. 1-3, 391–406. Geometries and groups (Noordwijkerhout, 1986). MR 925844, DOI 10.1007/BF00191934
Leonard L. Scott, Representations in characteristic $p$, The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979) Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R.I., 1980, pp. 319–331. MR 604599
- [A1] M. Aschbacher, On the maximal subgroups of the finite classical groups, Invent. Math. 76 (1984), 469-514. MR 0746539
- [A2] M. Aschbacher, Finite simple groups and their subgroups, Group Theory, Beijing 1984, Lecture Notes in Math., vol. 1185, Springer-Verlag, Berlin and New York, 1986, pp. 1-57. MR 842439
- [ASc] M. Aschbacher and L. Scott, Maximal subgroups of the finite groups, J. Algebra 92 (1985), 44-80. MR 772471
- [LPS] M. Liebeck, C. Prager, and J. Saxl, A classification of the maximal subgroups of the finite alternating and symmetric groups, J. Algebra 111 (1987), 365-383. MR 916173
- [Se1] G. Seitz, The maximal subgroups of the classical algebraic groups, Mem. Amer. Math. Soc., vol. 365, Amer. Math. Soc., Providence, RI, 1987, pp. 1-286. MR 888704
- [Se2] G. Seitz, Representations and maximal subgroups of finite groups of Lie type, Geom. Dedicata 25 (1988), 391-406. MR 925844
- [Sc] L. Scott, Representations in characteristic p, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc. Providence, RI, 1980, pp. 319-331. MR 604599
Review Information:
Reviewer:
Michael Aschbacher
Journal:
Bull. Amer. Math. Soc.
25 (1991), 200-204
DOI:
https://doi.org/10.1090/S0273-0979-1991-16065-9