Semistability of amalgamated products, HNN-extensions, and all one-relator groups

Mihalik, Michael L.; Tschantz, Steven T.

Semistability of amalgamated products, HNN-extensions, and all one-relator groups

Authors

Description

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 HNN-extension where $A$ is finitely presented and semistable at infinity, and $H$ is finitely generated, then $G$ is semistable at infinity.
6 pages. Abstract added in migration.