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Tame Combings of Groups |
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| Authors: | Michael L Mihalik Steven T Tschantz |
| Institution: | Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240 ; Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240 |
| Abstract: | In this paper, we introduce the idea of tame combings for finitely presented groups. If  is a closed irreducible 3-manifold and  is tame combable, then the universal cover of  is homeomorphic to  . We show that all asynchronously automatic and all semihyperbolic groups are tame combable. |
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