Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Theory
2019-12-19 v2 Group Theory
Abstract
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|).
Keywords
Cite
@article{arxiv.1009.2437,
title = {Representation Growth in positive characteristic and conjugacy classes of maximal subgroups},
author = {Robert Guralnick and Michael Larsen and Pham Huu Tiep},
journal= {arXiv preprint arXiv:1009.2437},
year = {2019}
}
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25 pages