Semistability of amalgamated products, HNNextensions, and all onerelator groups
Abstract
The authors announce the following theorem. Theorem 1. If $G=A*_H B$ is an amalgamated product where $A$ and $B$ are finitely presented and semistable at infinity, and $H$ is finitely generated, then $G$ is semistable at infinity. If $G=A*_H$ is an HNNextension where $A$ is finitely presented and semistable at infinity, and $H$ is finitely generated, then $G$ is semistable at infinity.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 1991
 arXiv:
 arXiv:math/9201264
 Bibcode:
 1992math......1264M
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Geometric Topology
 EPrint:
 6 pages. Abstract added in migration.