Fraisse limits of limit groups

被引：2

作者：

Kharlampovich, Olga ^{[1
]}

Myasnikov, Alexei ^{[2
]}

Sklinos, Rizos ^{[2
]}

机构：

[1] CUNY Hunter Coll, Dept Math & Stat, New York, NY 10065 USA

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

来源：

JOURNAL OF ALGEBRA | 2020年 / 545卷

关键词：

Fraisse limit; Limit group; Lyndon exponential group; Free group; DIOPHANTINE GEOMETRY; ELEMENTARY THEORY;

D O I：

10.1016/j.jalgebra.2019.08.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We modify the notion of a Fraisse class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraisse limits. Furthermore, we rediscover Lyndon's Z[t]-exponential completions of countable torsion-free CSA groups, as Fraisse limits with respect to extensions of centralizers. Published by Elsevier Inc.

引用

页码：300 / 323

页数：24

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