Splittings of generalized Baumslag-Solitar groups

被引：27
|
作者：
Forester, Max [1 ]
机构：
[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA
来源：
GEOMETRIAE DEDICATA | 2006年 / 121卷 / 01期
关键词：
Baumslag-Solitar group; G-tree; graph of groups; deformation; slide move; modular homomorphism;
D O I：
10.1007/s10711-006-9085-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the structure of generalized Baumslag-Solitar groups from the point of view of their (usually non-unique) splittings as fundamental groups of graphs of infinite cyclic groups. We find and characterize certain decompositions of smallest complexity (fully reduced decompositions) and give a simplified proof of the existence of deformations. We also prove a finiteness theorem and solve the isomorphism problem for generalized Baumslag-Solitar groups with no non-trivial integral moduli.
引用
收藏
页码：43 / 59
页数：17
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