Cyclic normal subgroups of generalized Baumslag-Solitar groups

被引：6

作者：

Delgado, Alberto L. ^{[1
]}

Robinson, Derek J. S. ^{[2
]}

Timm, Mathew ^{[3
]}

机构：

[1] Illinois State Univ, Dept Math, Normal, IL 61761 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[3] Bradley Univ, Dept Math, Peoria, IL 61625 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 04期

关键词：

Covering group; cyclic radical; generalized Baumslag-Solitar group;

D O I：

10.1080/00927872.2016.1226859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The centers and cyclic radicals of generalized Baumslag-Solitar groups (GBS-groups) are studied. Criteria for their non-triviality are found and an algorithm to compute the center and cyclic radical,is given. In addition, for each unimodular GBS-group, a GBS-cover, i.e., a GBS-group in whose underlying graph the weights around each vertex are constant in absolute value, is, constructed. These groups are then characterized by a minimality property.

引用

页码：1808 / 1818

页数：11

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