2010/08/09 by Matthew Gelvin, Gelvin, Matthew
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.GR
paper · pdf · doi:10.48550/arxiv.1008.1454
arxiv created 2010/08/09 · arxiv updated 2010/09/07
This paper introduces the notion of fusion action system, an abstraction of the p-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 p-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.