Principal blocks with 5 irreducible characters
Group Theory
2021-05-07 v2 Representation Theory
Abstract
We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or is isomorphic to one of the non-abelian 2-groups of order 8.
Cite
@article{arxiv.2010.15422,
title = {Principal blocks with 5 irreducible characters},
author = {Noelia Rizo and Amanda Schaeffer Fry and Carolina Vallejo},
journal= {arXiv preprint arXiv:2010.15422},
year = {2021}
}
Comments
19 pages