Notes on Loewy series of centers of $p$-blocks
Representation Theory
2018-06-22 v1 Group Theory
Abstract
The present paper describes some results on the Loewy series of the center of a modular group algebra in order to solve a problem on the number of irreducible ordinary characters. For instance, we prove that a -block of a finite group has at least characters if its defect group contains non-elementary center.
Cite
@article{arxiv.1806.08029,
title = {Notes on Loewy series of centers of $p$-blocks},
author = {Yoshihiro Otokita},
journal= {arXiv preprint arXiv:1806.08029},
year = {2018}
}
Comments
7 pages