二次Baumslag-Solitar群的JSJ分解
群论
2016-01-20 v3 几何拓扑
摘要
广义Baumslag-Solitar群被定义为具有无限循环顶点群和边群的图群的基本群。Forester证明了(见“On uniqueness of JSJ decompositions of finitely generated groups”, Comment. Math. Helv. 78 (2003) pp 740-751)在大多数情况下,定义图是Rips和Sela意义上的循环JSJ分解。这里我们将Forester的结果推广到顶点群可以是无限循环或二次悬挂曲面群的图群。
关键词
引用
@article{arxiv.1102.4589,
title = {JSJ decompositions of Quadratic Baumslag-Solitar groups},
author = {Juan Alonso},
journal= {arXiv preprint arXiv:1102.4589},
year = {2016}
}
备注
20 pages, 2 figures. Several corrections and improvements from referee's report. Imprtant changes in Definition 5.1, and the proof of Theorem 5.5 (previously 5.4). Lemma 5.4 was added