Mathematical Sciences

Lund University

Title Reduced, tame and exotic fusion systems
Authors Kasper Andersen, Bob Oliver, Joana Ventura
Alternative Location, Restricted Access
Publication Proceedings of the London Mathematical Society
Year 2012
Volume 105
Issue 1
Pages 87 - 152
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher London Mathematical Society
Abstract English 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.
ISBN/ISSN/Other ISSN: 0024-6115