A Block-theoretic Proof of Burnside's Normal $p$-complement Theorem
Group Theory
2025-04-01 v1
Abstract
In [3, Theorem 6.7B], the authors use the Main Theorems of Brauer to give a proof of Burnside's Normal -complement Theorem. Unfortunately, the proof contains an error. We take this opportunity to give a proof along similar lines, circumventing the error by means of a well-known result on traces of totally positive cyclotomic integers.
Cite
@article{arxiv.2503.23637,
title = {A Block-theoretic Proof of Burnside's Normal $p$-complement Theorem},
author = {Christopher Herbig},
journal= {arXiv preprint arXiv:2503.23637},
year = {2025}
}
Comments
6 pages, 0 figures