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Low-dimensional representations of finite orthogonal groups

Published online by Cambridge University Press:  26 January 2021

KAY MAGAARD
Affiliation:
FB Mathematik, TU Kaiserslautern, Postfach 3049, 67653Kaiserslautern, Germany.
GUNTER MALLE*
Affiliation:
FB Mathematik, TU Kaiserslautern, Postfach 3049, 67653Kaiserslautern, Germany.

Abstract

We determine the smallest irreducible Brauer characters for finite quasi-simple orthogonal type groups in non-defining characteristic. Under some restrictions on the characteristic we also prove a gap result showing that the next larger irreducible Brauer characters have a degree roughly the square of those of the smallest non-trivial characters.

Type
Research Article
Copyright
© Cambridge Philosophical Society 2021

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