Archiv der Mathematik

, Volume 94, Issue 5, pp 405–410

Realizing a fusion system by a single finite group


DOI: 10.1007/s00013-010-0119-z

Cite this article as:
Park, S. Arch. Math. (2010) 94: 405. doi:10.1007/s00013-010-0119-z


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 systemsExotic fusion systemsExoticity index

Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of AberdeenAberdeenUnited Kingdom