Open Access
October 2014 Nilpotent $p\mspace{1mu}$-local finite groups
José Cantarero, Jérôme Scherer, Antonio Viruel
Author Affiliations +
Ark. Mat. 52(2): 203-225 (October 2014). DOI: 10.1007/s11512-013-0181-4


We provide characterizations of $p\mspace {1mu}$-nilpotency for fusion systems and $p\mspace {1mu}$-local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.

Funding Statement

The first author was partially supported by FEDER/MEC grant MTM2010-20692. The second author was partially supported by FEDER/MEC grant MTM2010-20692 and the Max Planck Institute, Bonn. The third author was partially supported by FEDER/MCI grant MTM2010-18089, and Junta de Andalucía grants FQM-0213 and P07-FQM-2863.


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José Cantarero. Jérôme Scherer. Antonio Viruel. "Nilpotent $p\mspace{1mu}$-local finite groups." Ark. Mat. 52 (2) 203 - 225, October 2014.


Received: 18 May 2012; Revised: 22 October 2012; Published: October 2014
First available in Project Euclid: 30 January 2017

zbMATH: 1320.20024
MathSciNet: MR3255138
Digital Object Identifier: 10.1007/s11512-013-0181-4

Rights: 2013 © Institut Mittag-Leffler

Vol.52 • No. 2 • October 2014
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