Reduced, tame and exotic fusion systems
(2012) In Proceedings of the London Mathematical Society 105(1). p.87-152- Abstract
- We define here two new classes of saturated fusion systems: reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion systems: fusion systems which are not the fusion systems of any finite group. Our main theorems say that every saturated fusion system reduces to a reduced fusion system which is tame only if the original one is realizable and that every reduced fusion system which is not tame is the reduction of some exotic (nonrealizable) fusion system.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2991695
- author
- Andersen, Kasper LU ; Oliver, Bob and Ventura, Joana
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the London Mathematical Society
- volume
- 105
- issue
- 1
- pages
- 87 - 152
- publisher
- LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL
- external identifiers
-
- wos:000306372400003
- scopus:84863949709
- ISSN
- 0024-6115
- DOI
- 10.1112/plms/pdr065
- language
- English
- LU publication?
- yes
- id
- 5d9d5e71-6109-4894-b8c6-0fab1b14b090 (old id 2991695)
- date added to LUP
- 2016-04-01 10:58:35
- date last changed
- 2022-04-28 03:25:23
@article{5d9d5e71-6109-4894-b8c6-0fab1b14b090, abstract = {{We define here two new classes of saturated fusion systems: reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion systems: fusion systems which are not the fusion systems of any finite group. Our main theorems say that every saturated fusion system reduces to a reduced fusion system which is tame only if the original one is realizable and that every reduced fusion system which is not tame is the reduction of some exotic (nonrealizable) fusion system.}}, author = {{Andersen, Kasper and Oliver, Bob and Ventura, Joana}}, issn = {{0024-6115}}, language = {{eng}}, number = {{1}}, pages = {{87--152}}, publisher = {{LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL}}, series = {{Proceedings of the London Mathematical Society}}, title = {{Reduced, tame and exotic fusion systems}}, url = {{http://dx.doi.org/10.1112/plms/pdr065}}, doi = {{10.1112/plms/pdr065}}, volume = {{105}}, year = {{2012}}, }