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

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Michael L. Mihalik, Steven T. Tschantz

The authors announce the following theorem.

Theorem 1. If G=A∗HB 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.

https://arxiv.org/abs/math/9201264


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