Low-dimensional representations of finite orthogonal groups

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...

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 2021-11, Vol.171 (3), p.585-606
Main Authors: MAGAARD, KAY, MALLE, GUNTER
Format: Article
Language:English
Subjects:
Polynomials
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Summary: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004121000037