Rewriting Systems and Geometric 3-Manifolds

Authors

Susan Hermiller, University of Nebraska-LincolnFollow
Michael Shapiro, University of Melbourne

Document Type

Article

Date of this Version

1999

Citation

Published in Geometriae Dedicata (1999) 76: 211. doi:10.1023/A:1005064309732

Comments

Used by permission.

Abstract

The fundamental groups of most (conjecturally, all) closed 3- manifolds with uniform geometries have finite complete rewriting systems. The fundamental groups of a large class of amalgams of circle bundles also have finite complete rewriting systems. The general case remains open.