Twisted conjugacy in fundamental groups of geometric 3-manifolds

2020/03/17 by Gonçalves, Daciberg, Sankaran, Parameswaran, Wong, Peter · 1 citation
#20E36 #20E45 #55M20 #57M20 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2003.07791

Abstract

A group G has property R_∞ 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.

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• Twisted conjugacy classes in Lie groups

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