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Fusion Systems on Bicyclic 2-Groups
Published online by Cambridge University Press: 08 January 2016
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. As an application we prove Olsson's conjecture for all blocks with bicyclic defect groups.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 59 , Issue 4 , November 2016 , pp. 989 - 1018
- Copyright
- Copyright © Edinburgh Mathematical Society 2016
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