The Isomorphism Problem for Generalized Baumslag–Solitar Groups with One Mobile Edge

被引：0
作者：
F. A. Dudkin
机构：
[1] Sobolev Institute of Mathematics,
[2] Novosibirsk State University,undefined
来源：
Algebra and Logic | 2017年 / 56卷
关键词：
isomorphism problem; generalized Baumslag–Solitar group; labeled graph;
D O I：
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学科分类号：
摘要：
A generalized Baumslag–Solitar group (GBS group) is a finitely generated group G which acts on a tree with all edge and vertex stabilizers infinite cyclic. Every GBS group is the fundamental group π1(𝔸) of some labeled graph 𝔸. This paper deals with the isomorphism problem for GBS groups, which is the problem of determining whether π1(𝔸) ≅ π1(𝔹) for two given labeled graphs 𝔸 and 𝔹. We describe an algorithm that decides this problem for the case where one of the labeled graphs has a sole mobile edge.
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页码：197 / 209
页数：12
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