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Schur multipliers of the known finite simple groups. (English) Zbl 0263.20008


MSC:

20C25 Projective representations and multipliers
20G05 Representation theory for linear algebraic groups
20D05 Finite simple groups and their classification
20G40 Linear algebraic groups over finite fields
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References:

[1] J. L. Alperin and Daniel Gorenstein, The multiplicators of certain simple groups, Proc. Amer. Math. Soc. 17 (1966), 515 – 519. · Zbl 0151.02002
[2] N. Burgoyne and P. Fong, The Schur multipliers of the Mathieu groups, Nagoya Math. J. 27 (1966), 733 – 745. · Zbl 0171.28801
[3] R. W. Carter, Simple groups and simple Lie algebras, J. London Math. Soc. 40 (1965), 193 – 240. · Zbl 0232.20017 · doi:10.1112/jlms/s1-40.1.193
[4] Walter Feit, The current situation in the theory of finite simple groups, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 55 – 93. · Zbl 0344.20008
[5] Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. · Zbl 0328.20014
[6] B. Huppert, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). · Zbl 0217.07201
[7] Zvonimir Janko, A new finite simple group with abelian Sylow 2-subgroups and its characterization, J. Algebra 3 (1966), 147 – 186. · Zbl 0214.28003 · doi:10.1016/0021-8693(66)90010-X
[8] Robert Steinberg, Lectures on Chevalley groups, Yale University, New Haven, Conn., 1968. Notes prepared by John Faulkner and Robert Wilson. · Zbl 1196.22001
[9] Robert Steinberg, Générateurs, relations et revêtements de groupes algébriques, Colloq. Théorie des Groupes Algébriques (Bruxelles, 1962) Librairie Universitaire, Louvain; Gauthier-Villars, Paris, 1962, pp. 113 – 127 (French).
[10] Robert Steinberg, Representations of algebraic groups, Nagoya Math. J. 22 (1963), 33 – 56. · Zbl 0271.20019
[11] John McKay and David Wales, The multipliers of the simple groups of order 604,800 and 50,232,960, J. Algebra 17 (1971), 262 – 272. · Zbl 0215.10202 · doi:10.1016/0021-8693(71)90033-0
[12] D. Wales and J. McKay, The multiplier of the Higman-Sims group(to appear). · Zbl 0239.20019
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