Square roots of Thompson’s group F
نویسندگان
چکیده
We study two–generated subgroups x f , gy Homeo pIq such that x f 2, g2y is isomorphic to Thompson’s group F. We show that this class contains examples with nonabelian free subgroups, examples which do not admit faithful actions by C diffeomorphisms on 1–manifolds, and examples which are not finitely presented. We thus answer questions due to M. Brin.
منابع مشابه
Two–chains and square roots of Thompson’s group F
We study two–generated subgroups x f , gy Homeo pIq such that x f 2, g2y is isomorphic to Thompson’s group F, and such that the supports of f and g form a chain of two intervals. We show that this class contains uncountably many isomorphism types. These include examples with nonabelian free subgroups, examples which do not admit faithful actions by C2 diffeomorphisms on 1–manifolds, examples ...
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تاریخ انتشار 2017