Automorphisms of p-local compact groups

A. Gonzalez; R. Levi

doi:10.1016/j.jalgebra.2016.07.033

Automorphisms of p-local compact groups

A. Gonzalez, R. Levi

Mathematical Science

Kansas State University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

50 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 language	English
Pages (from-to)	202-236
Number of pages	35
Journal	Journal of Algebra
Volume	467
Early online date	12 Aug 2016
DOIs	https://doi.org/10.1016/j.jalgebra.2016.07.033
Publication status	Published - 1 Dec 2016

Keywords

fusion systems
p-local compact groups
amalgamated products
amalgam

Access to Document

10.1016/j.jalgebra.2016.07.033Licence: Unspecified

Accepted Manuscript
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 419 KBLicence: CC BY-NC-ND

https://arxiv.org/abs/1507.05069Licence: Unspecified

Ran Levi
- School of Natural & Computing Sciences, Mathematical Science - Chair in Mathematical Sciences
Person: Academic

Cite this

@article{07e8efb47cde44ec8488926e97700299,

title = "Automorphisms of p-local compact groups",

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.",

keywords = "fusion systems, p-local compact groups, amalgamated products, amalgam",

author = "A. Gonzalez and R. Levi",

year = "2016",

month = dec,

day = "1",

doi = "10.1016/j.jalgebra.2016.07.033",

language = "English",

volume = "467",

pages = "202--236",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Automorphisms of p-local compact groups

AU - Gonzalez, A.

AU - Levi, R.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - fusion systems

KW - p-local compact groups

KW - amalgamated products

KW - amalgam

U2 - 10.1016/j.jalgebra.2016.07.033

DO - 10.1016/j.jalgebra.2016.07.033

M3 - Article

SN - 0021-8693

VL - 467

SP - 202

EP - 236

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Automorphisms of p-local compact groups

Abstract

Keywords

Access to Document

Fingerprint

Profiles

Ran Levi

Cite this