On geometric polygroups

Autor: Arabpur F., Jafarpour M., Aminizadeh M., Hoskova-Mayerova S.
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 28, Iss 1, Pp 17-33 (2020)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2020-0002
Popis: 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.
Databáze: Directory of Open Access Journals