English

Real blocks with dihedral defect groups revisited

Representation Theory 2023-05-01 v1

Abstract

The Frobenius--Schur indicators of characters in a real 2-block with dihedral defect groups have been determined by Murray. We show that two infinite families described in his work do not exist and we construct examples for the remaining families. We further present some partial results on Frobenius--Schur indicators of characters in other tame blocks.

Keywords

Cite

@article{arxiv.2304.14639,
  title  = {Real blocks with dihedral defect groups revisited},
  author = {Benjamin Sambale},
  journal= {arXiv preprint arXiv:2304.14639},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T10:20:27.859Z