Fusion systems on bicyclic 2-groups
Group Theory
2014-01-24 v3 Representation Theory
Abstract
We classify all (saturated) fusion systems on bicyclic 2-groups. Here, a bicyclic group is a product of two cyclic subgroups. This extends previous work on fusion systems on metacyclic 2-groups (see [Craven-Glesser, 2012] and [Sambale, 2012]). As an application we prove Olsson's Conjecture for all blocks with bicyclic defect groups.
Keywords
Cite
@article{arxiv.1206.2962,
title = {Fusion systems on bicyclic 2-groups},
author = {Benjamin Sambale},
journal= {arXiv preprint arXiv:1206.2962},
year = {2014}
}
Comments
22 pages, shorted and some arguments replaced