English

Blocks with only one irreducible Brauer character orbit

Group Theory 2026-04-13 v1 Representation Theory

Abstract

In this paper, we prove that a pp-block with abelian defect group is inertial if it covers a pp-block of a normal subgroup of pp-power index having only one irreducible Brauer character orbit.

Keywords

Cite

@article{arxiv.2604.09161,
  title  = {Blocks with only one irreducible Brauer character orbit},
  author = {Fuming Jiang and Kun Zhang and Yuanyang Zhou},
  journal= {arXiv preprint arXiv:2604.09161},
  year   = {2026}
}