Book Review
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MathSciNet review:
1567404
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Daniel Gorenstein
Title:
Finite simple groups, an introduction to their classification
Additional book information:
Plenum Publishing Corporation, New York, 1982, x + 333 pp., $29.50.
Helmut Bender and George Glauberman, Characters of finite groups with dihedral Sylow $2$-subgroups, J. Algebra 70 (1981), no. 1, 200–215. MR 618388, DOI 10.1016/0021-8693(81)90253-2
Helmut Bender and George Glauberman, Characters of finite groups with dihedral Sylow $2$-subgroups, J. Algebra 70 (1981), no. 1, 200–215. MR 618388, DOI 10.1016/0021-8693(81)90253-2
G. Cherlin, L. Harrington, and A. H. Lachlan, $\aleph _0$-categorical, $\aleph _0$-stable structures, Ann. Pure Appl. Logic 28 (1985), no. 2, 103–135. MR 779159, DOI 10.1016/0168-0072(85)90023-5
J. H. Conway and S. P. Norton, Monstrous moonshine, Bull. London Math. Soc. 11 (1979), no. 3, 308–339. MR 554399, DOI 10.1112/blms/11.3.308
Charles W. Curtis, William M. Kantor, and Gary M. Seitz, The $2$-transitive permutation representations of the finite Chevalley groups, Trans. Amer. Math. Soc. 218 (1976), 1–59. MR 422440, DOI 10.1090/S0002-9947-1976-0422440-8
Walter Feit, Some consequences of the classification of finite simple groups, 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. 175–181. MR 604576
Daniel Gorenstein and John H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math. 6 (1962), 553–593. MR 142619
Daniel Gorenstein and John H. Walter, The characterization of finite groups with dihedral Sylow $2$-subgroups. I, J. Algebra 2 (1965), 85–151. MR 177032, DOI 10.1016/0021-8693(65)90027-X
Thomas Hawkins, Wilhelm Killing and the structure of Lie algebras, Arch. Hist. Exact Sci. 26 (1982), no. 2, 127–192. MR 667550, DOI 10.1007/BF00348350
Saunders Mac Lane, History of abstract algebra: origin, rise, and decline of a movement, American mathematical heritage: algebra and applied mathematics (El Paso, Tex., 1975/Arlington, Tex., 1976) Math. Ser., vol. 13, Texas Tech Univ., Lubbock, Tex., 1981, pp. 3–35. MR 641700
J. Tits, Groupes simples et géométries associées, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 197–221 (French). MR 0175903
- 1.
- H. Bender, Finite groups with dihedral Sylow 2-subgroups, J. Algebra 70 (1981), 216-228. MR 0618388
- 2.
- H. Bender and G. Glauberman, Characters of finite groups with dihedral Sylow 2-subgroups, J. Algebra 70 (1981), 200-215. MR 618388
- 3.
- G. Cherlin, L. Harrington and A. Lachlan, א0-categorical, א0-stable structures (preprint). MR 779159
- 4.
- J. Conway and S. Norton, Monstrous moonshine, Bull. London Math. Soc. 11 (1979), 308-339. MR 554399
- 5.
- C. W. Curtis, W. M. Kantor and G. M. Seitz, The 2-transitive permutation representations of the finite Chevalley groups, Trans. Amer. Math. Soc. 218 (1976), 1-59. MR 422440
- 6.
- W. Feit, Some consequences of the classification of finite simple groups, Proc. Sympos. Pure Math., vol. 37, Amer. Math. Soc., Providence, R. I., 1980, pp. 175-182. MR 604576
- 7.
- D. Gorenstein and J. H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math. 6(1962), 553-593. MR 142619
- 8.
- D. Gorenstein and J. H. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups. I, II, III, J. Algebra 2 (1965), 85-151, 218-270, 334-393. MR 177032
- 9.
- T. Hawkins, Wilhelm Killing and the structure of Lie algebras, Arch, for History of Exact Sciences 26 (1982), 127-192. MR 667550
- 10.
- S. Mac Lane, History of abstract algebra, Texas Tech Univ. Math. Series 13 (1981), 3-35. MR 641700
- 11.
- J. Tits, Groupes simples et géometries associées, Proc. Internat. Congr. Math. (Stockholm, 1962), Mittag-Leffler, Djursholm, Sweden, 1962, pp. 197-221. MR 175903
Review Information:
Reviewer:
Walter Feit
Journal:
Bull. Amer. Math. Soc.
8 (1983), 120-124
DOI:
https://doi.org/10.1090/S0273-0979-1983-15101-7