The 𝑅∞-property for nilpotent quotients of Baumslag–Solitar groups-Reference-Cited by-同舟云学术

The 𝑅∞-property for nilpotent quotients of Baumslag–Solitar groups

Published:2020-05-01 Issue:3 Volume:23 Page:545-562
ISSN:1435-4446
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Dekimpe Karel¹,Lima Gonçalves Daciberg²

Affiliation:

1. KU Leuven Campus Kulak Kortrijk, E. Sabbelaan 53, 8500Kortrijk, Belgium

2. Departamento de Matemática–IME–USP, Universidade de São Paulo, São Paulo, Brazil

Abstract

AbstractA group G has the

{R_{\infty}}

-property if the number

{R(\varphi)}

of twisted conjugacy classes is infinite for any automorphism φ of G. For such a group G, the

{R_{\infty}}

-nilpotency degree is the least integer c such that

{G/\gamma_{c+1}(G)}

still has the

{R_{\infty}}

-property. In this paper, we determine the

{R_{\infty}}

-nilpotency degree of all Baumslag–Solitar groups.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/downloadpdf/journals/jgth/23/3/article-p545.xml

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1. The R ∞ R_{\infty} property for nilpotent quotients of Generalized Solvable Baumslag–Solitar groups;Journal of Group Theory;2023-01-31