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

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dc.creatorMihalik, Michael L.
dc.creatorTschantz, Steven T.
dc.date1992-01-01
dc.date.accessioned2026-07-07T09:14:43Z
dc.date.available2026-07-07T09:14:43Z
dc.descriptionThe 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.
dc.description6 pages. Abstract added in migration.
dc.identifierhttps://arxiv.org/abs/math/9201264
dc.identifierhttp://arxiv.org/abs/math/9201264
dc.identifierBull. Amer. Math. Soc. (N.S.) 26 (1992) 131-136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152775
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleSemistability of amalgamated products, HNN-extensions, and all one-relator groups
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