Local Functions on Blocks
arXiv:2109.14408 · doi:10.1080/00927872.2022.2154785
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.
15 pages, To appear in Communications in Algebra