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arXiv · 1905.08960

Low-dimensional representations of finite orthogonal groups

Kay Magaard·Gunter Malle
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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.

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Kay Magaard, Gunter Malle. 2019-05-22. Low-dimensional representations of finite orthogonal groups. https://doi.org/10.1017/s0305004121000037

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