Non-virtually nilpotent groups have infinite conjugacy class quotients
Group Theory
2018-03-15 v1
Abstract
We offer in this note a self-contained proof of the fact that a finitely generated group is not virtually nilpotent if and only if it has a quotient with the infinite conjugacy class (ICC) propoerty. This proof is a modern presentation of the original proof, by McLain (1956) and Duguid and McLain (1956).
Cite
@article{arxiv.1803.05064,
title = {Non-virtually nilpotent groups have infinite conjugacy class quotients},
author = {Joshua Frisch and Pooya Vahidi Ferdowsi},
journal= {arXiv preprint arXiv:1803.05064},
year = {2018}
}
Comments
6 pages