08-04
Brauer characters of prime power degrees and conjugacy classes of prime power lengths
by Pham Huu Tiep; Wolfgang Willems
Preprint series: 08-04, Preprints
- MSC:
- 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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