Archiv der Mathematik

, Volume 94, Issue 5, pp 405–410 | Cite as

Realizing a fusion system by a single finite group



We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an ‘exoticity index’ and raises some other questions which we discuss.

Mathematics Subject Classification (2000)



Fusion systems Exotic fusion systems Exoticity index 


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Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of AberdeenAberdeenUnited Kingdom

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