## Arkiv för Matematik

• Ark. Mat.
• Volume 52, Number 2 (2014), 203-225.

### Nilpotent $p\mspace{1mu}$-local finite groups

#### 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.

#### Note

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.

#### Article information

Source
Ark. Mat., Volume 52, Number 2 (2014), 203-225.

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

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485802675

Digital Object Identifier
doi:10.1007/s11512-013-0181-4

Mathematical Reviews number (MathSciNet)
MR3255138

Zentralblatt MATH identifier
1320.20024

Rights
2013 © Institut Mittag-Leffler

#### Citation

Cantarero, José; Scherer, Jérôme; Viruel, Antonio. Nilpotent $p\mspace{1mu}$-local finite groups. Ark. Mat. 52 (2014), no. 2, 203--225. doi:10.1007/s11512-013-0181-4. https://projecteuclid.org/euclid.afm/1485802675

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