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arXiv · 1206.2962

Fusion systems on bicyclic 2-groups

Benjamin Sambale
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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.

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Benjamin Sambale. 2014-01-23. Fusion systems on bicyclic 2-groups. https://arxiv.org/abs/1206.2962

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