关于几何多群

Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0002

F. Arabpur, M. Jafarpour, M. Aminizadeh, Š. Hošková-Mayerová

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引用次数: 2

摘要

摘要本文在有限生成多群上引入了广义Cayley图(gCay(P,S))的测地线度量空间。在gCayley图上定义了多群的一个超作用，并给出了这个超作用的一些性质。我们证明了由两个不同的生成器生成的多群的gCayley图是拟等距的。最后，我们表达了有限生成多群与测地线度量空间之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On geometric polygroups

Abstract In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction. We show that gCayley graphs of a polygroup by two different generators are quasi-isometric. Finally, we express a connection between finitely generated polygroups and geodesic metric spaces.

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