Equations in groups that are virtually direct products

被引：9

作者：

Ciobanu, Laura ^{[1
]}

Holt, Derek ^{[2
]}

Rees, Sarah ^{[3
]}

机构：

[1] Heriot Watt Univ, Math & Comp Sci, Colin McLaurin Bldg, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England

[3] Univ Newcastle, Sch Math Stat & Theoret Phys, Newcastle NE1 7RU, England

来源：

JOURNAL OF ALGEBRA | 2020年 / 545卷

基金：

英国工程与自然科学研究理事会;

关键词：

Equations in groups; Hyperbolic groups; Direct products; Wreath products;

D O I：

10.1016/j.jalgebra.2018.10.044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we show that the satisfiability of equations and inequations with recognisable constraints is decidable in groups that are virtually direct products of finitely many hyperbolic groups. Crown Copyright (C) 2018 Published by Elsevier Inc. All rights reserved.

引用

页码：88 / 99

页数：12

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[3]

Ciobanu L., 2018, SOLUTIONS EQUA UNPUB

[4] Solution sets for equations over free groups are EDT0L languages [J].