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arXiv · 1710.00913

Conjugate subgroups and overgroups of $V_n$

Casey Donoven·Feyishayo Olukoya
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Abstract

We describe subgroups and overgroups of the generalised Thompson groups $V_n$ which arise via conjugation by rational homeomorphisms of Cantor space. We specifically consider conjugating $V_n$ by homeomorphisms induced by synchronizing transducers and their inverses. Our descriptions of the subgroups and overgroups use properties of the conjugating transducer to either restrict or augment the action of $V_n$ on Cantor space.

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Casey Donoven, Feyishayo Olukoya. 2017-10-02. Conjugate subgroups and overgroups of $V_n$. https://arxiv.org/abs/1710.00913

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