Arbitrarily large $\mathcal{O}$-Morita Frobenius numbers
Representation Theory
2021-08-19 v5
Abstract
We construct blocks of finite groups with arbitrarily large -Morita Frobenius numbers. There are no known examples of two blocks defined over that are not Morita equivalent but the corresponding blocks defined over are. Therefore, the above strongly suggests that Morita Frobenius numbers are also unbounded, which would answer a question of Benson and Kessar.
Keywords
Cite
@article{arxiv.1908.06680,
title = {Arbitrarily large $\mathcal{O}$-Morita Frobenius numbers},
author = {Michael Livesey},
journal= {arXiv preprint arXiv:1908.06680},
year = {2021}
}