English

Character degrees in blocks and defect groups

Group Theory 2021-11-10 v2

Abstract

A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a block. In this article, we bring new evidence towards the validity of this statement.

Keywords

Cite

@article{arxiv.2110.13227,
  title  = {Character degrees in blocks and defect groups},
  author = {Eugenio Giannelli and J. Miquel Martínez and A. A. Schaeffer Fry},
  journal= {arXiv preprint arXiv:2110.13227},
  year   = {2021}
}

Comments

23 pages

R2 v1 2026-06-24T07:10:39.593Z