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math.GT2013★ 1 cited
Equivalent trace sets for arithmetic Fuchsian groups
Grant S. Lakeland
We show that the modular group has an infinite family of finite index subgroups, each of which has the same trace set as the modular group itself. Various congruence subgroups of t…
math.GT2013★ 6 cited
Systoles and Dehn surgery for hyperbolic 3-manifolds
Grant S. Lakeland, Christopher J. Leininger
Given a closed hyperbolic 3-manifold M of volume V, and a link L in M such that the complement M \ L is hyperbolic, we establish a bound for the systole length of M \ L in terms of…