Twisted conjugacy in fundamental groups of geometric 3-manifolds

Authors

Daciberg Gonçalves, Universidade de São Paulo
Parameswaran Sankaran, Chennai Mathematical Institute
Peter Wong, Bates CollegeFollow

Publication Title

Topology and its Applications

Document Type

Article

Department or Program

Mathematics

Publication Date

4-15-2021

Keywords

Geometric three-manifolds, Nielsen fixed point theory, Twisted conjugacy

Abstract

A group G has the R∞-property if for every φ∈Aut(G), there are an infinite number of φ-twisted conjugacy classes of elements in G. In this note, we determine the R∞-property for G=π1(M) for all geometric 3-manifolds M.

Recommended Citation

Goncalves, D, Sankaran, P. and Wong, P. 2021. "Twisted conjugacy in fundamental groups of geometric 3-manifolds." 293. https://doi.org/10.1016/j.topol.2020.107568

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Copyright Note

This is the author's version of the work. This publication appears in Bates College's institutional repository by permission of the copyright owner for personal use, not for redistribution.

Required Publisher's Statement

Original version is available from the publisher at: https://doi.org/10.1016/j.topol.2020.107568