The largest irreducible representations of simple groups

Michael Larsen; Gunter Malle; Pham Huu Tiep

doi:10.1112/plms/pds030

The largest irreducible representations of simple groups

Michael Larsen, Gunter Malle, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the smaller degrees. We also study the asymptotic behavior of this largest degree for finite groups of Lie type. Moreover, we show that for groups of Lie type, the Steinberg character has the largest degree among all unipotent characters.

Original language	English (US)
Pages (from-to)	65-96
Number of pages	32
Journal	Proceedings of the London Mathematical Society
Volume	106
Issue number	1
DOIs	https://doi.org/10.1112/plms/pds030
State	Published - Jan 2013

ASJC Scopus subject areas

General Mathematics

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The largest irreducible representations of simple groups

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