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arxiv: 1803.05064 · v1 · pith:LBNVLGQJnew · submitted 2018-03-13 · 🧮 math.GR

Non-virtually nilpotent groups have infinite conjugacy class quotients

Joshua Frisch , Pooya Vahidi Ferdowsi This is my paper
classification 🧮 math.GR
keywords proofclassconjugacyinfinitemclainnilpotentduguidfact
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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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