English

The strong Frobenius numbers for cyclic defect blocks are equal to one

Representation Theory 2018-05-24 v1

Abstract

The purpose of this note is to provide a reference for the fact that the strong Frobenius number, in the sense of Eaton and Livesey, of a block of a finite group with a cyclic defect group is equal to one. This answers a question of Farrell and Kessar.

Keywords

Cite

@article{arxiv.1805.08884,
  title  = {The strong Frobenius numbers for cyclic defect blocks are equal to one},
  author = {Markus Linckelmann},
  journal= {arXiv preprint arXiv:1805.08884},
  year   = {2018}
}