arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.08143math.GR
收藏

Leary-Minasyan群的同构分类

Isomorphism classification of Leary-Minasyan groups

Motiejus Valiunas

AI总结:

本文对Leary-Minasyan群进行同构分类,揭示了其结构特性及与其他群类的关系。

摘要:

最近,I.J. Leary和A. Minasyan研究了定义为commensurating HNN扩展的Z^n类群G(A,L)。这一类包含Baumslag-Solitar群,还包含其他具有奇特性质的群,例如是CAT(0)但不是biautomatic。在本文中,我们对这些群进行同构分类。

英文摘要:

Recently, I. J. Leary and A. Minasyan studied the class of groups $G(A,L)$ defined as commensurating HNN-extensions of $\mathbb{Z}^n$. This class, containing the class of Baumslag-Solitar groups, also includes other groups with curious properties, such as being CAT(0) but not biautomatic. In this paper, we classify the groups $G(A,L)$ up to isomorphism.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑