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Schur indices of characters of groups related to finite sporadic simple groups

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Abstract

LetG be a finite sporadic simple group. Then there exist groupsn.G., n.G.2 and, in casen is even,n.G.2i, the group isoclinic to but not isomorphic ton.G.2. The Schur indices of all irreducible characters of these groups are computed. In a previous paper this was done for the groupsn.G (with one exception). The division algebra corresponding to a character is determined by all the local Schur indices. These are all listed in the tables in Section 6 using the notation from the ATLAS.

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  1. Department of Mathematics, Yale University, P.O. Box 208283, 06520-8283, New Haven, CT, USA

    Walter Feit

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  1. Walter Feit
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Correspondence to Walter Feit.

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Feit, W. Schur indices of characters of groups related to finite sporadic simple groups. Israel J. Math. 93, 229–251 (1996). https://doi.org/10.1007/BF02761105

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  • DOI: https://doi.org/10.1007/BF02761105

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