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arXiv · 2109.12341

Embeddings into pro-p groups and the construction of parafree groups

Ismael Morales
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Abstract

A finitely generated group G is termed parafree if it is residually nilpotent and it has the same isomorphism types of nilpotent quotients as some free group. The two main results of this MSc. Thesis characterise the parafreeness of two constructions, namely amalgamated products with cyclic amalgams and cyclic HNN extensions.

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Ismael Morales. 2021-09-25. Embeddings into pro-p groups and the construction of parafree groups. https://arxiv.org/abs/2109.12341

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