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Reduced, tame and exotic fusion systems

Andersen, Kasper LU ; Oliver, Bob and Ventura, Joana (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.
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author
organization
publishing date
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
2012-08-22 12:57:55
date last changed
2017-10-22 03:26:47
@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},
  volume       = {105},
  year         = {2012},
}