Low-dimensional representations of finite orthogonal groups
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2019
- DOI:
- 10.48550/arXiv.1905.08960
- arXiv:
- arXiv:1905.08960
- Bibcode:
- 2019arXiv190508960M
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Group Theory;
- 20C33;
- 20D06;
- 20G40
- E-Print:
- Math. Proc. Camb. Phil. Soc. 171 (2021) 585-606