The codegree isomorphism problem for finite simple groups
Group Theory
2023-02-28 v2 Representation Theory
Abstract
We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin-Tits' simple order theorem.
Cite
@article{arxiv.2301.00446,
title = {The codegree isomorphism problem for finite simple groups},
author = {Nguyen N. Hung and Alexander Moretó},
journal= {arXiv preprint arXiv:2301.00446},
year = {2023}
}
Comments
24 pages, 2 tables