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Limit groups with respect to Thompson's group and other hereditarily separating groups
Aleksander Ivanov, Roland Zarzycki
We prove that a limit group over Thompson's group cannot be an HNN-extension of with respect to a finitely generated subgroup. On the other hand we give an example of an $F…
Mixed identities, hereditarily separated actions and oscillation
Aleksander Ivanov, Roland Zarzycki
Given a topological -space we consider equations with parameters over . In particular we formulate some very general conditions on words with parameters …
Limit groups with respect to Thompson's group F and other finitely generated groups
Roland Zarzycki
Let F be the (Thompson's) group < x_0, x_1 | [x_0x_1^-1, x_0^-ix_1 x_0^i], i=1,2 >. We study the structure of F-limit groups. Let G_n= < y_1,..., y_m, x_0,x_1 | [x_0x_1^-1,x_0^-1x_…
Limits of Thompson's group F
Roland Zarzycki
Let F be the Thompson's group. We study the structure of F-limit groups. Consider a sequence of groups marked by three elements, each isomorphic to F. Assume that the this sequence…