Arbitrarily large O-Morita Frobenius numbers

[摘要] We construct blocks of finite groups with arbitrarily large O-Morita Frobenius numbers. There are no known examples of two blocks defined over O, with isomorphic defect groups, that are not Morita equivalent but the corresponding blocks defined over kare. Therefore, the above strongly suggests that Morita Frobenius numbers are also unbounded, which would answer a question of Benson and Kessar. (C) 2021 Published by Elsevier Inc.

[发布日期] 2021-12-15

[关键词] Block theory of finite groups;Morita equivalences;Morita Frobenius numbers