Residually finite tubular groups

被引：1
|
作者：
Hoda, Nima [1 ]
Wise, Daniel T. [2 ]
Woodhouse, Daniel J. [3 ]
机构：
[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland
[2] McGill Univ Montreal, Dept Math & Stat, Montreal, PQ H3A0B9, Canada
[3] Technion, Dept Math, IL-32000 Haifa, Israel
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2020年 / 150卷 / 06期
基金：
加拿大自然科学与工程研究理事会; 以色列科学基金会;
关键词：
Residually Finite; Tubular Groups; GRAPHS;
D O I：
10.1017/prm.2019.52
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A tubular group G is a finite graph of groups with DOUBLE-STRUCK CAPITAL Z(2) vertex groups and DOUBLE-STRUCK CAPITAL Z edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.
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页码：2937 / 2951
页数：15
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