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arXiv · 1803.05064

Non-virtually nilpotent groups have infinite conjugacy class quotients

Joshua Frisch·Pooya Vahidi Ferdowsi
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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).

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Joshua Frisch, Pooya Vahidi Ferdowsi. 2018-03-13. Non-virtually nilpotent groups have infinite conjugacy class quotients. https://arxiv.org/abs/1803.05064

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