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 -Morita Frobenius numbers are constructed.
Florian Eisele. Michael Livesey. "Arbitrarily large Morita Frobenius numbers." Algebra Number Theory 16 (8) 1889 - 1904, 2022. https://doi.org/10.2140/ant.2022.16.1889