Representation Growth in positive characteristic and conjugacy classes of maximal subgroups

Details Representation Growth in positive characteristic and conjugacy classes of maximal subgroups Representation Growth in positive characteristic and conjugacy classes of maximal subgroups

2010-09-13

arxiv.org/abs/1009.2437v2

Mathematics

Representation Theory

25 pages

Scientific paper

We study the representation growth of alternating and symmetric groups in positive characteristic and restricted representation growth for the finite groups of Lie type. We show that the the number of representations of dimension at most n is bounded by a low degree polynomial in n. As a consequence, we show that the number of conjugacy classes of maximal subgroups of a finite almost simple group G is at most O(log|G|).

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