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Janko, Zvonimir

A characterization of the Mathieu simple groups. I, II. (English) Zbl 0159.03101

J. Algebra 9, 1-19, 20-41 (1968).
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Cited in 25 Documents

Keywords:

group theory
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ATLAS of Finite Group Representations:

Mathieu group M22
Mathieu group M23

References:

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[3] Brauer, R.; Fong, P., A characterization of the Mathieu group \(M_{12}\), Trans. Am. Math. Soc., 122, 18-47 (1966) · Zbl 0138.02503
[4] Coxeter, H. S.M; Moser, W. O.J, Generators and relations for discrete groups, Ergeb. Math., 14 (1965) · Zbl 0133.28002
[5] Feit, W.; Thompson, J. G., Solvability of groups of odd order, Pacific J. Math., 13, 775-1029 (1963) · Zbl 0124.26402
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[8] Held, D; Held, D
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[10] Janko, Z., A characterization of the smallest Rees’ group associated with the simple Lie algebra of type \(G_2\), J. Algebra, 4, 293-299 (1966) · Zbl 0145.02703
[11] Suzuki, M., On characterizations of linear groups, I, Trans. Am. Math. Soc., 92, 191-204 (1959) · Zbl 0089.01605
[12] Suzuki, M., Applications of group characters, (Proc. Symp. Pure Math., Am. Math. Soc., 1 (1959)), 88-99 · Zbl 0097.01504
[13] Suzuki, M., Finite groups in which the centralizer of any element of order 2 is 2-closed, Ann. Math., 82, 191-212 (1965) · Zbl 0132.01704
[14] Thompson, J. G.; Thompson, J. G.
[15] Witt, E., Die 5-fach transitiven Gruppen von Mathieu, Abhandl. Math. Sem. Hamburg, 12, 256-264 (1938) · JFM 64.0963.01
[16] Wong, W. J., On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2, J. Austral. Math. Soc., 4, 90-112 (1964) · Zbl 0203.02901
[17] Wong, W. J., A characterization of the Mathieu group \(M_{12}\), Math. Z., 84, 378-388 (1964) · Zbl 0129.01801
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