$Obstructions for subgroups of Thompson's group $V$$

Obstructions for subgroups of Thompson's group $V$

Thompson's group $V$ has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permutation group of a countable set, as well as many wreath products and other families of groups. Here, we describe...

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Veröffentlicht in:	arXiv.org 2014-02
Hauptverfasser:	Burillo, José, Cleary, Sean, Röver, Claas E
Format:	Artikel
Sprache:	eng
Schlagworte:	Group theory Obstructions Permutations Subgroups
Online-Zugang:	Volltext
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Zusammenfassung:	Thompson's group $V$ has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permutation group of a countable set, as well as many wreath products and other families of groups. Here, we describe some obstructions for a given group to be a subgroup of $V$.
ISSN:	2331-8422

Zusammenfassung:	Thompson's group \(V\) has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permutation group of a countable set, as well as many wreath products and other families of groups. Here, we describe some obstructions for a given group to be a subgroup of \(V\).
ISSN:	2331-8422

Obstructions for subgroups of Thompson's group \(V\)