English

Characters of normalisers of d-split Levi subgroups in Sp2n(q)

Representation Theory 2022-03-14 v1

Abstract

In this paper characters of the normaliser of d-split Levi subgroups in Sp2n(q) are parametrised with a particular focus on the Clifford theory between the Levi subgroup and its normaliser. This forms a key step in verifying the inductive Alperin-McKay condition from Sp\"ath via a criterion given by Sp\"ath and the author.

Keywords

Cite

@article{arxiv.2203.06072,
  title  = {Characters of normalisers of d-split Levi subgroups in Sp2n(q)},
  author = {Julian Brough},
  journal= {arXiv preprint arXiv:2203.06072},
  year   = {2022}
}