Finite index subgroups of R. Thompson's group F

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The authors classify the finite index subgroups of R. Thompson's group $F$. All such groups that are not isomorphic to $F$ are non-split extensions of finite cyclic groups by $F$. The classification describes precisely which finite index subgroups of $F$ are isomorphic to $F$, and also separates the isomorphism classes of the finite index subgroups of $F$ which are not isomorphic to $F$ from each other; characterizing the structure of the extensions using properties of the structure of the finite index subgroups of $Z\times Z$.
26 pages, 8 figures

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Group Theory, General Topology, 20F60

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http://salesiana.dossiersoluciones.com/handle/123456789/141635

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1014
 http://arxiv.org/abs/0711.1014

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arXiv