Brauer characters of prime power degrees and conjugacy classes of prime power lengths

by Pham Huu Tiep; Wolfgang Willems


Preprint series: 08-04, Preprints

20C20 Modular representations and characters
20E34 General structure theorems
20D06 Simple groups: alternating groups and groups of Lie type, See also {20Gxx, 22Exx}
20D08 Simple groups: sporadic groups


Abstract: We classify all finite non-abelian simple groups for which the degrees of irreducible Brauer characters are powers of a fixed prime. Analogously we classify all finite groups for which the lengths of regular conjugacy classes are powers of a fixed prime.

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Letzte Änderung: 01.03.2018 - Ansprechpartner:

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