Control of fixed points over discrete $p$-toral groups, and existence and uniqueness of linking systems
Algebraic Topology
2017-12-15 v3 Group Theory
Abstract
The existence and uniqueness of linking systems associated to saturated fusion systems over discrete -toral groups were proved by Levi and Libman. Their proof make indirectly use of the classification of the finite simple groups. Here we extend some results and arguments of Glauberman and Lynd to show how to remove this assumption.
Keywords
Cite
@article{arxiv.1511.04291,
title = {Control of fixed points over discrete $p$-toral groups, and existence and uniqueness of linking systems},
author = {Rémi Molinier},
journal= {arXiv preprint arXiv:1511.04291},
year = {2017}
}
Comments
26 pages. Published in Journal of Algebra. arXiv admin note: substantial text overlap with arXiv:1506.01307 by other authors