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math.FA2017★ 1 cited
Two special subgroups of the universal sofic group
Matteo Cavaleri, Radu B. Munteanu, Liviu Paunescu
We define a subgroup of the universal sofic group, obtained as the normaliser of a separable abelian subalgebra. This subgroup can be obtained as an extension by the group of autom…
math.GR2017★ 9 cited
Følner functions and the generic Word Problem for finitely generated amenable groups
Matteo Cavaleri
We introduce and investigate different definitions of effective amenability, in terms of computability of Følner sets, Reiter functions, and Følner functions. As a consequence, we…