The principal $p$-blocks with small numbers of characters
Representation Theory
2021-08-25 v2 Group Theory
Abstract
For a prime , we determine a Sylow -subgroup of a finite group such that the principal -block of has four irreducible ordinary characters. It has been determined already for the cases where the number is up to three by work by R. Brauer, J. Brandt, and V.A. Belonogov thirty years ago. Our proof relies on the classification of finite simple groups.
Keywords
Cite
@article{arxiv.2001.09970,
title = {The principal $p$-blocks with small numbers of characters},
author = {Shigeo Koshitani and Taro Sakurai},
journal= {arXiv preprint arXiv:2001.09970},
year = {2021}
}
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23 pages