Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups
O'Connor, Zoe Ann
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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.