Towards Donovan's conjecture for abelian defect groups
Representation Theory
2018-06-08 v2 Group Theory
Abstract
We define a new invariant for a -block, the strong Frobenius number, which we use to address the problem of reducing Donovan's conjecture to normal subgroups of index p. As an application we use the strong Frobenius number to complete the proof of Donovan's conjecture for 2-blocks with abelian defect groups of rank at most 4 and for 2-blocks with abelian defect groups of order at most 64.
Keywords
Cite
@article{arxiv.1711.05357,
title = {Towards Donovan's conjecture for abelian defect groups},
author = {Charles Eaton and Michael Livesey},
journal= {arXiv preprint arXiv:1711.05357},
year = {2018}
}