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ISSN 1088-6850(e) ISSN 0002-9947(p)

Tame Combings of Groups

Author(s): Michael L. Mihalik; Steven T. Tschantz
Journal: Trans. Amer. Math. Soc. 349 (1997), 4251-4264.
MSC (1991): Primary 20F05; Secondary 57M20
MathSciNet review: 1390045
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Abstract: In this paper, we introduce the idea of tame combings for finitely presented groups. If $M$ is a closed irreducible 3-manifold and $\pi _{1}(M)$ is tame combable, then the universal cover of $M$ is homeomorphic to ${\mathbb {R}}^{3}$ . We show that all asynchronously automatic and all semihyperbolic groups are tame combable.

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