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Realizing fusion systems inside finite groups


Author: Sejong Park
Journal: Proc. Amer. Math. Soc. 144 (2016), 3291-3294
MSC (2010): Primary 20D20, 20J15, 19A22
DOI: https://doi.org/10.1090/proc/13077
Published electronically: March 17, 2016
MathSciNet review: 3503697
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Abstract: We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work from 2010 and complements the related result by Leary and Stancu (2007).


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Additional Information

Sejong Park
Affiliation: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
Email: sejong.park@nuigalway.ie

DOI: https://doi.org/10.1090/proc/13077
Received by editor(s): October 12, 2015
Published electronically: March 17, 2016
Communicated by: Phan Huu Tiep
Article copyright: © Copyright 2016 American Mathematical Society