Blocks with transitive fusion systems
Representation Theory
2014-10-22 v1 Algebraic Topology
Group Theory
Abstract
Suppose that all nontrivial subsections of a -block are conjugate (where is a prime). By using the classification of the finite simple groups, we prove that the defect groups of are either extraspecial of order with or elementary abelian.
Cite
@article{arxiv.1410.5705,
title = {Blocks with transitive fusion systems},
author = {Lázló Héthelyi and Radha Kessar and Burkhard Külshammer and Benjamin Sambale},
journal= {arXiv preprint arXiv:1410.5705},
year = {2014}
}