Twisted conjugacy in free products

Autor(es)

Goncalves, Daciberg ^[1] ; Sankaran, Parameswaran ^[2] ; Wong, Peter ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 48, n. 9 APR 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático