Fusion Action Systems
Algebraic Topology
2010-09-07 v1 Group Theory
Abstract
This paper introduces the notion of fusion action system, an abstraction of the -local data of a finite group acting on a finite set. Fusion action systems are closely connected with the theory of fusion systems; we detail the relationship of this new definition to the existing literature. We also develop a theory of classifying spaces of fusion action systems, analogous to the relationship between by -local finite groups and fusion systems. This allows us to discuss the covering space theory arising from a group action in a fusion-theoretic context.
Keywords
Cite
@article{arxiv.1008.1454,
title = {Fusion Action Systems},
author = {Matthew Gelvin},
journal= {arXiv preprint arXiv:1008.1454},
year = {2010}
}