City Research Online

Arbitrarily large Morita Frobenius numbers

Eisele, F. ORCID: 0000-0001-8267-2094 & 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 Science & Technology > Mathematics
Related URLs:
[thumbnail of 2006.13837v2.pdf]
Preview
Text - Draft Version
Download (211kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login