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math.GR2014★ 4 cited
A non-LEA Sofic Group
Aditi Kar, Nikolay Nikolov
We describe elementary examples of finitely presented sofic groups which are not residually amenable (and thus not initially subamenable or LEA, for short). We ask if an amalgam of…
math.GR2014
Verbal width in anabelian groups
Nikolay Nikolov
The class of anabelian groups is defined as the collection of finite groups without abelian composition factors. We prove that the commutator word and the power wor…