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

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 nitely presented residually free groups.

Grantor dc:publisher

Heriot-Watt University

Year dc:date.issued

2014

Author dc:creator

• O'Connor, Zoe Ann

Advisor dc:contributor.advisor

• Howie, Professor Jim

Statement dc:rights

• All items in ROS are protected by the Creative Commons copyright license (http://creativecommons.org/licenses/by-nc-nd/2.5/scotland/), with some rights reserved.

Language dc:language.iso

en

Handle dc:identifier.uri

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

OAI identifier oai:identifier

oai:ros.hw.ac.uk:10399/2819