Automorphisms of p-local compact groups

A. Gonzalez, R. Levi

Research output: Contribution to journalArticle

1 Citation (Scopus)
4 Downloads (Pure)

Abstract

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 Robinson's construction of an amalgam G, realising 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.

Original languageEnglish
Pages (from-to)202-236
Number of pages35
JournalJournal of Algebra
Volume467
Early online date12 Aug 2016
DOIs
Publication statusPublished - 1 Dec 2016

Fingerprint

Classifying Space
Compact Group
Automorphisms
Outer Automorphism Groups
Amalgam
Epimorphism
Homotopy Equivalence
Algebraic Structure
Homotopy
Fusion
Equivalence
Class

Keywords

  • fusion systems
  • p-local compact groups
  • amalgamated products
  • amalgam

Cite this

Automorphisms of p-local compact groups. / Gonzalez, A.; Levi, R.

In: Journal of Algebra, Vol. 467, 01.12.2016, p. 202-236.

Research output: Contribution to journalArticle

Gonzalez, A. ; Levi, R. / Automorphisms of p-local compact groups. In: Journal of Algebra. 2016 ; Vol. 467. pp. 202-236.
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