The $R_\infty$ property for free groups, free nilpotent groups and free solvable groups
Group Theory
2014-05-13 v1
Abstract
Let 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 property. Finally, we also show that the free group of infinite rank does not have the property.
Keywords
Cite
@article{arxiv.1303.1346,
title = {The $R_\infty$ property for free groups, free nilpotent groups and free solvable groups},
author = {Karel Dekimpe and Daciberg Lima Gonçalves},
journal= {arXiv preprint arXiv:1303.1346},
year = {2014}
}