- Acta Math.
- Volume 211, Number 1 (2013), 47-139.
Fusion systems and localities
We introduce objective partial groups, of which the linking systems and p-local finite groups of Broto, Levi, and Oliver, the transporter systems of Oliver and Ventura, and the -localities of Puig are examples, as are groups in the ordinary sense. As an application we show that if is a saturated fusion system over a finite p-group then there exists a centric linking system having as its fusion system, and that is unique up to isomorphism. The proof relies on the classification of the finite simple groups in an indirect and—for that reason—perhaps ultimately removable way.
Acta Math., Volume 211, Number 1 (2013), 47-139.
Received: 26 August 2011
Revised: 15 January 2013
First available in Project Euclid: 31 January 2017
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2013 © Institut Mittag-Leffler
Chermak, Andrew. Fusion systems and localities. Acta Math. 211 (2013), no. 1, 47--139. doi:10.1007/s11511-013-0099-5. https://projecteuclid.org/euclid.acta/1485892723