English

The blocks with four irreducible characters

Group Theory 2022-01-28 v2

Abstract

Suppose that BB is a Brauer pp-block with defect group DD. If BB exactly contains 4 irreducible characters, then we show that DD has order 4 or 5, assuming the Alperin--McKay conjecture.

Keywords

Cite

@article{arxiv.2109.10654,
  title  = {The blocks with four irreducible characters},
  author = {J. Miquel Martínez and Noelia Rizo and Lucía Sanus},
  journal= {arXiv preprint arXiv:2109.10654},
  year   = {2022}
}

Comments

There is a gap in the final step

R2 v1 2026-06-24T06:12:47.798Z