Automorphisms of p-local compact groups
Copyright policy )Automorphisms of p-local compact groups
Self equivalences of classifying spaces of $p$-local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are lacking. In this paper we use a construction of Robinson of an amalgam $G$, realizing a given fusion system, to produce a split epimorphism from the outer automorphism group of $G$ to the group of homotopy classes of self homotopy equivalences of the classifying space of the corresponding $p$-local compact group.
- Kansas State University United States
- University of Aberdeen United Kingdom
- Mathematical Sciences Research Institute United States
amalgamated products, Group Theory (math.GR), amalgam, Classifying spaces of groups and \(H\)-spaces in algebraic topology, Compact groups, p-local compact groups, fusion systems, Homology of classifying spaces and characteristic classes in algebraic topology, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, \(p\)-local compact groups, FOS: Mathematics, Algebraic Topology (math.AT), QA Mathematics, Mathematics - Algebraic Topology, QA, Mathematics - Group Theory
amalgamated products, Group Theory (math.GR), amalgam, Classifying spaces of groups and \(H\)-spaces in algebraic topology, Compact groups, p-local compact groups, fusion systems, Homology of classifying spaces and characteristic classes in algebraic topology, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, \(p\)-local compact groups, FOS: Mathematics, Algebraic Topology (math.AT), QA Mathematics, Mathematics - Algebraic Topology, QA, Mathematics - Group Theory
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