Element centralizers in the Higman-Thompson groups V_n

Collin Patrick Bleak; Francesco Matucci; Alison Gordon; Garrett Graham; Eugenia Sapir; Hannah Bowman; Jacob Hughes

Element centralizers in the Higman-Thompson groups V_n

Collin Patrick Bleak
, Francesco Matucci
, Alison Gordon
, Garrett Graham
, Eugenia Sapir
, Hannah Bowman
, Jacob Hughes

Research output: Contribution to journal › Article › peer-review

Abstract

We produce a description of the structure of element centralizers within the Higman-Thompson groups V_n. As a corollary to our structure theorem we see that element centralizers in the V_n are ﬁnitely generated. Finally, we give a separate short argument which shows that all inﬁnite-cyclic subgroups
within V_n are embedded without distortion.

Original language	English
Pages (from-to)	821-865
Number of pages	45
Journal	Groups, Geometry, and Dynamics
Volume	7
Issue number	4
Publication status	Published - 20 Nov 2013

Keywords

Element Centralizers
R. Thompson's group V
Group Actions

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title = "Element centralizers in the Higman-Thompson groups V\_n",

abstract = "We produce a description of the structure of element centralizers within the Higman-Thompson groups V\_n. As a corollary to our structure theorem we see that element centralizers in the V\_n are ﬁnitely generated. Finally, we give a separate short argument which shows that all inﬁnite-cyclic subgroups within V\_n are embedded without distortion.",

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T1 - Element centralizers in the Higman-Thompson groups V_n

AU - Bleak, Collin Patrick

AU - Matucci, Francesco

AU - Gordon, Alison

AU - Graham, Garrett

AU - Sapir, Eugenia

AU - Bowman, Hannah

AU - Hughes, Jacob

PY - 2013/11/20

Y1 - 2013/11/20

N2 - We produce a description of the structure of element centralizers within the Higman-Thompson groups V_n. As a corollary to our structure theorem we see that element centralizers in the V_n are ﬁnitely generated. Finally, we give a separate short argument which shows that all inﬁnite-cyclic subgroups within V_n are embedded without distortion.

AB - We produce a description of the structure of element centralizers within the Higman-Thompson groups V_n. As a corollary to our structure theorem we see that element centralizers in the V_n are ﬁnitely generated. Finally, we give a separate short argument which shows that all inﬁnite-cyclic subgroups within V_n are embedded without distortion.

KW - Element Centralizers

KW - R. Thompson's group V

KW - Group Actions

M3 - Article

SN - 1661-7207

VL - 7

SP - 821

EP - 865

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

IS - 4

ER -

Element centralizers in the Higman-Thompson groups V_n

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