The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups
Group Theory
2013-10-22 v1 Representation Theory
Abstract
We verify the inductive blockwise Alperin weight (BAW) and the inductive Alperin-McKay (AM) conditions introduced by the second author for blocks of finite quasisimple groups with cyclic defect groups. Furthermore we establish a criterion that describes conditions under which the inductive AM condition for blocks with abelian defect groups implies the inductive BAW condition for those blocks.
Keywords
Cite
@article{arxiv.1310.5512,
title = {The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups},
author = {Shigeo Koshitani and Britta Spaeth},
journal= {arXiv preprint arXiv:1310.5512},
year = {2013}
}