88 research outputs found
Fusion systems on bicyclic 2-groups
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.Comment: 22 pages, shorted and some arguments replace
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