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Arbitrarily large Morita Frobenius numbers

Eisele, F. ORCID: 0000-0001-8267-2094 and Livesey, M. (2020). Arbitrarily large Morita Frobenius numbers. City, University of London.

Abstract

We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant which determines the size of the minimal field of definition of the associated basic algebra. This answers a question of Benson and Kessar. This also improves upon a result of the second author where arbitrarily large $\mathcal{O}$-Morita Frobenius numbers are constructed.

Publication Type: Monograph (Working Paper)
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Related URLs:
Date Deposited: 08 Jul 2020 11:58
URI: https://openaccess.city.ac.uk/id/eprint/24421
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