On centers of blocks with non-cyclic defect groups
Representation Theory
2016-11-21 v1
Abstract
In this short note we study the center ZB of a block B of a finite group over an algebraically closed field of prime characteristic through its Loewy length llZB. A result of Okuyama in 1981 gave an upper bound for llZB in terms of defect group of B. The purpose of this note is to improve this bound for non-cyclic defect groups.
Cite
@article{arxiv.1611.06058,
title = {On centers of blocks with non-cyclic defect groups},
author = {Yoshihiro Otokita},
journal= {arXiv preprint arXiv:1611.06058},
year = {2016}
}
Comments
3 pages