Abstract
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.
Citation
José Cantarero. Jérôme Scherer. Antonio Viruel. "Nilpotent $p\mspace{1mu}$-local finite groups." Ark. Mat. 52 (2) 203 - 225, October 2014. https://doi.org/10.1007/s11512-013-0181-4
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