Arbitrarily large O-Morita Frobenius numbers

Michael Livesey

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Abstract

We construct blocks of finite groups with arbitrarily large -Morita Frobenius numbers. There are no known examples of two blocks defined over , with isomorphic defect groups, that are not Morita equivalent but the corresponding blocks defined over k are. Therefore, the above strongly suggests that Morita Frobenius numbers are also unbounded, which would answer a question of Benson and Kessar.
Original languageEnglish
JournalJournal of Algebra
Early online date2 Sept 2021
DOIs
Publication statusPublished - 2 Sept 2021

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