QUASI-ISOMETRIES AND AMALGAMATIONS OF TAME COMBABLE GROUPS

Author:

BRICK STEPHEN G.1

Affiliation:

1. Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688–0002, USA

Abstract

We study the property of tame combability for groups. We show that quasi-isometries preserve this property. We prove that an amalgamation, A *C B, where C is finitely generated, is tame combable iff both A and B are. An analogous result is obtained for HNN extensions. And we show that all one-relator groups are tame combable.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Topological tameness conditions of spaces and groups: Results and developments∗;Lithuanian Mathematical Journal;2016-07

2. On the Proper Homotopy Invariance of the Tucker Property;Acta Mathematica Sinica, English Series;2006-12-12

3. Measuring the tameness of almost convex groups;Transactions of the American Mathematical Society;2000-10-11

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