English

On Picard groups of blocks with normal defect groups

Representation Theory 2020-02-04 v3

Abstract

Let bb be a block with normal abelian defect group and abelian inertial quotient. We prove that every Morita auto-equivalence of bb has linear source. We note that this improves upon results of Zhou and also Boltje, Kessar and Linckelmann.

Keywords

Cite

@article{arxiv.1907.12167,
  title  = {On Picard groups of blocks with normal defect groups},
  author = {Michael Livesey},
  journal= {arXiv preprint arXiv:1907.12167},
  year   = {2020}
}
R2 v1 2026-06-23T10:33:17.257Z