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arXiv:1206.2962 [math.GR]AbstractReferencesReviewsResources

Fusion systems on bicyclic 2-groups

Benjamin Sambale

Published 2012-06-13, updated 2014-01-23Version 3

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.

Comments: 22 pages, shorted and some arguments replaced
Categories: math.GR, math.RT
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