Details
| Original language | English |
|---|---|
| Pages (from-to) | 989-1018 |
| Number of pages | 30 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 59 |
| Issue number | 4 |
| Publication status | Published - 1 Nov 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.
Keywords
- bicyclic 2-groups, fusion systems, Olsson's conjecture
ASJC Scopus subject areas
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In: Proceedings of the Edinburgh Mathematical Society, Vol. 59, No. 4, 01.11.2016, p. 989-1018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fusion Systems on Bicyclic 2-Groups
AU - Sambale, Benjamin
N1 - Publisher Copyright: © 2016 Edinburgh Mathematical Society.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - 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.
AB - 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.
KW - bicyclic 2-groups
KW - fusion systems
KW - Olsson's conjecture
UR - http://www.scopus.com/inward/record.url?scp=84953737269&partnerID=8YFLogxK
U2 - 10.1017/S0013091515000334
DO - 10.1017/S0013091515000334
M3 - Article
AN - SCOPUS:84953737269
VL - 59
SP - 989
EP - 1018
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
SN - 0013-0915
IS - 4
ER -