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arXiv math/92012641992-01-01math.GRmath.GT

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

Michael L. Mihalik, Steven T. Tschantz

备注：: 6 pages. Abstract added in migration.
发表信息：: Bull. Amer. Math. Soc. (N.S.) 26 (1992) 131-136

英文摘要：

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.

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