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Computation of characters of the Higman-Sims group and its automorphism group. (English) Zbl 0226.20009


MSC:

20C99 Representation theory of groups
Full Text: DOI

ATLAS of Finite Group Representations:

Higman-Sims group HS

References:

[1] Frame, J. S., The degrees of the irreducible components of simply transitive permutation groups, Duke Math. J., 3, 8-17 (1937) · Zbl 0016.15601
[2] Frame, J. S., Some irreducible monomial representations of hyperorthogonal groups, Duke Math. J., 1, 442-448 (1935) · Zbl 0013.05601
[3] Frame, J. S., Congruence relations between the traces of matrix powers, Can. J. Math., 1, 303-304 (1949) · Zbl 0041.15205
[4] Frame, J. S., The classes and representations of the groups of 27 lines and 28 bitangents, Ann. Mat. Pura Appl., 32, 83-119 (1951) · Zbl 0045.00505
[5] Higman, D. G.; Sims, C. C., A simple group of order 44 352 000, Math. Z., 105, 110-113 (1968) · Zbl 0186.04002
[6] Higman, Graham, On the simple group of D. G. Higman and C. C. Sims, Illinois J. Math., 13, 74-80 (1969) · Zbl 0165.04001
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