The R∞ property for free groups, free nilpotent groups and free solvable groups

By K. Dekimpe, Daciberg Lima Gonçalves. 2013

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Let F be either a free nilpotent group of a given class and of finite rank or a free solvable group of a certain derived length and of finite rank. We show precisely which ones have the R∞ property. Finally, we also show that the free group of infinite rank does not have the R∞ property.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2d6102112d86ff87d61ccbb0ceb3d60611f4ba5c