Local Functions on Blocks
Representation Theory
2022-12-14 v3 Group Theory
Abstract
We define a block-by-block version of Isaacs and Navarro's chain local condition and then prove that the Alperin-McKay conjecture is equivalent to a certain function on groups having this property. We then go on to prove several other block-by-block versions of results from Isaacs and Navarro's paper.
Keywords
Cite
@article{arxiv.2109.14408,
title = {Local Functions on Blocks},
author = {Jamie Mason},
journal= {arXiv preprint arXiv:2109.14408},
year = {2022}
}
Comments
15 pages, To appear in Communications in Algebra