Almost convex groups and the eight geometries

Michael Shapiro, Melanie Stein

Research output: Contribution to journalArticle

Abstract

IfM is a closed Nil geometry 3-manifold then π1(M) is almost convex with respect to a fairly simple “geometric” generating set. IfG is a central extension or a ℤ extension of a word hyperbolic group, thenG is also almost convex with respect to some generating set. Combining these with previously known results shows that ifM is a closed 3-manifold with one of Thurston's eight geometries, π1(M) is almost convex with respect to some generating set if and only if the geometry in question is not Sol.
Original languageEnglish
Pages (from-to)125-140
Number of pages16
JournalGeometriae Dedicata
Volume55
Issue number2
DOIs
Publication statusPublished - 1 Apr 1995

Cite this

Almost convex groups and the eight geometries. / Shapiro, Michael; Stein, Melanie.

In: Geometriae Dedicata, Vol. 55, No. 2, 01.04.1995, p. 125-140.

Research output: Contribution to journalArticle

Shapiro, Michael ; Stein, Melanie. / Almost convex groups and the eight geometries. In: Geometriae Dedicata. 1995 ; Vol. 55, No. 2. pp. 125-140.
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