Aut(Fn) actions on representation spaces

Tsachik Gelander

doi:10.1016/j.jalgebra.2024.04.005

Aut(F_n) actions on representation spaces

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

Abstract

J. Wiegold conjectured that if n≥3 and G is a finite simple group, then the action of Aut(F_n) on Epi(F_n,G) is transitive. In this note we consider analogous questions where G is a compact Lie group, a non-compact simple analytic group or a simple algebraic group.

Original language	English
Journal	Journal of Algebra
DOIs	https://doi.org/10.1016/j.jalgebra.2024.04.005
Publication status	Published Online - 17 Apr 2024
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2024.04.005

Cite this

@article{9145ee9e5f174cc490059d3aa3725f12,

title = "Aut(Fn) actions on representation spaces",

abstract = "J. Wiegold conjectured that if n≥3 and G is a finite simple group, then the action of Aut(Fn) on Epi(Fn,G) is transitive. In this note we consider analogous questions where G is a compact Lie group, a non-compact simple analytic group or a simple algebraic group.",

author = "Tsachik Gelander",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier Inc.",

year = "2024",

month = apr,

day = "17",

doi = "10.1016/j.jalgebra.2024.04.005",

language = "English",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Aut(Fn) actions on representation spaces

AU - Gelander, Tsachik

PY - 2024/4/17

Y1 - 2024/4/17

N2 - J. Wiegold conjectured that if n≥3 and G is a finite simple group, then the action of Aut(Fn) on Epi(Fn,G) is transitive. In this note we consider analogous questions where G is a compact Lie group, a non-compact simple analytic group or a simple algebraic group.

AB - J. Wiegold conjectured that if n≥3 and G is a finite simple group, then the action of Aut(Fn) on Epi(Fn,G) is transitive. In this note we consider analogous questions where G is a compact Lie group, a non-compact simple analytic group or a simple algebraic group.

UR - http://www.scopus.com/inward/record.url?scp=85191328316&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2024.04.005

DO - 10.1016/j.jalgebra.2024.04.005

M3 - Article

AN - SCOPUS:85191328316

SN - 0021-8693

JO - Journal of Algebra

JF - Journal of Algebra

ER -