On geometric polygroups

On geometric polygroups

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In this paper, we introduce a geodesic metric space click here 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 nacrack.com and geodesic metric spaces.