Cellular approximations of fusion systems

2016/03/16 by Carrión, Guille, Castellana, Natàlia, Natàlia Castellana +2
Computer Science · Mathematics · #Cellular Automata and Applications #Geometric and Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1603.05050

Abstract

In this paper we study the cellularization of classifying spaces of saturated fusion systems with respect to classifying spaces of finite p-groups. We give explicit algebraic criteria to decide when a classifying space is cellular. Moreover, we describe computations for a given family of exotic examples introduced by Díaz-Ruiz-Viruel.

Related

• Cellularization of classifying spaces and fusion properties of finite groups
• The cellular structure of the classifying spaces of finite groups
• Fusion systems and localities -- a dictionary
• Realizing fusion systems inside finite groups
• Assigning a classifying space to a fusion system up to F-isomorphism