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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Twisted conjugacy in free products

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Author(s):
Goncalves, Daciberg [1] ; Sankaran, Parameswaran [2] ; Wong, Peter [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Dept Math, Sao Paulo - Brazil
[2] Chennai Math Inst, Siruseri, Tamil Nadu - India
[3] Bates Coll, Dept Math, 3 Andrews Rd, Lewiston, ME 04240 - USA
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 48, n. 9 APR 2020.
Web of Science Citations: 0
Abstract

Let be an automorphism of a group which is a free product of finitely many groups each of which is freely indecomposable and two of the factors contain proper finite index characteristic subgroups. We show that G has infinitely many -twisted conjugacy classes. As an application, we show that if G is the fundamental group of a three-manifold that is not irreducible, then G has property that is, there are infinitely many -twisted conjugacy classes in G for every automorphism of G. (AU)

FAPESP's process: 16/24707-4 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants