Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups

Zoe O'Connor

doi:http://hdl.handle.net/10399/2819

Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups

Zoe O'Connor

Research output: Thesis › Doctoral Thesis

Abstract

In this thesis we prove conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound for finitely presented residually free groups.

Original language	English
Qualification	Ph.D.
Awarding Institution	Heriot-Watt University
Supervisors/Advisors	Howie, James, Supervisor
Thesis sponsors	Engineering and Physical Sciences Research Council
Award date	11 Feb 2014
DOIs	https://doi.org/http://hdl.handle.net/10399/2819
Publication status	Published - 2014

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title = "Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups",

abstract = "In this thesis we prove conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound for finitely presented residually free groups.",

author = "Zoe O'Connor",

year = "2014",

doi = "http://hdl.handle.net/10399/2819",

language = "English",

school = "Heriot-Watt University",

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TY - BOOK

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AU - O'Connor, Zoe

PY - 2014

Y1 - 2014

N2 - In this thesis we prove conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound for finitely presented residually free groups.

AB - In this thesis we prove conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound for finitely presented residually free groups.

U2 - http://hdl.handle.net/10399/2819

DO - http://hdl.handle.net/10399/2819

M3 - Doctoral Thesis

ER -

Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups

Abstract

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