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arXiv · 1807.08131

Fraïssé limits of limit groups

Olga Kharlampovich·Alexei Myasnikov·Rizos Sklinos
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Abstract

We modify the notion of a Fraïssé class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraïssé limits. Furthermore, we rediscover Lyndon's $\Z[t]$-exponential completions of countable torsion-free CSA groups, as Fraïssé limits with respect to extensions of centralizers. Dedicated to the memory of Charles Sims.

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Olga Kharlampovich, Alexei Myasnikov, Rizos Sklinos. 2019-08-05. Fraïssé limits of limit groups. https://arxiv.org/abs/1807.08131

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