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Arbitrarily large Morita Frobenius numbers

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


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 Science & Technology > Mathematics
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