ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS

被引：10

作者：

Kharlampovich, Olga ^{[1
]}

Myasnikov, Alexei ^{[2
]}

Serbin, Denis ^{[2
]}

机构：

[1] CUNY, Hunter Coll, New York, NY 10065 USA

[2] Stevens Inst Technol, Hoboken, NJ 07030 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2013年 / 23卷 / 02期

基金：

美国国家科学基金会;

关键词：

Group actions on trees; Lambda-trees; length functions; relatively hyperbolic groups; IRREDUCIBLE AFFINE VARIETIES; TREE-GRADED SPACES; HYPERBOLIC STRUCTURES; ALGEBRAIC-GEOMETRY; LIMIT GROUPS; ISOMORPHISM-PROBLEM; ELEMENTARY THEORY; SURFACE GROUPS; ARTIN GROUPS; DEGENERATIONS;

D O I：

10.1142/S0218196713400031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we survey recent developments in the theory of groups acting on Lambda-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 Lambda-free groups. Besides surveying results known up to date we draw many new corollaries concerning structural and algorithmic properties of such groups.

引用

页码：325 / 455

页数：131

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