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Adian 90: Conference on Mathematical Logic, Algebra, and Computation
July 6, 2021 17:00, Moscow, Steklov Mathematical Institute of RAS (Moscow) and online in Zoom

Countable elementary free groups

O. G. Kharlampovich

City University of New York, USA



Abstract: We modify the notion of a Fraisse 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 Fraisse limits. We rediscover Lyndon's $\mathbb{Z}[t]$-exponential completions of countable torsion-free CSA groups, as Fraisse limits with respect to extensions of centralizers.

Language: English

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