Hostname: page-component-84b7d79bbc-7nlkj Total loading time: 0 Render date: 2024-07-26T00:59:10.412Z Has data issue: false hasContentIssue false
  • English
  • Français

Fusion Systems on Bicyclic 2-Groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  08 January 2016

Benjamin Sambale
Benjamin Sambale*
Affiliation:
Institut für Mathematik, Friedrich-Schiller-Universität, 07743 Jena, Germany
Get access Rights & Permissions [Opens in a new window]

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.

Keywords

fusion systemsbicyclic 2-groupsOlsson's conjecture

MSC classification

Secondary: 20D15: Nilpotent groups, $p$-groups
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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)