ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS-Reference-Cited by-同舟云学术

ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS

Published:2013-03 Issue:02 Volume:23 Page:325-455
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

KHARLAMPOVICH OLGA¹,MYASNIKOV ALEXEI²,SERBIN DENIS²

Affiliation:

1. Hunter College, CUNY, 695 Park Avenue, New York, NY 10065, USA

2. Stevens Institute of Technology, 1 Castle Point on Hudson, Hoboken, NJ 07030, USA

Abstract

In this paper we survey recent developments in the theory of groups acting on Λ-trees. We are trying to unify all significant methods and techniques, both classical and recently developed, in an attempt to present various faces of the theory and to show how these methods can be used to solve major problems about finitely presented Λ-free groups. Besides surveying results known up to date we draw many new corollaries concerning structural and algorithmic properties of such groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196713400031

Reference114 articles.

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2. Complete Trees for Groups with a Real-Valued Length Function

3. Free Sums of Groups and Their Generalizations III

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