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Gyrogroups associated with groups

Authors :
Lal, Ratan
Kakkar, Vipul
Publication Year :
2021

Abstract

In this paper, we study the properties of the associated gyrogroup ${^\circ}G$ of a given group $G$ of nilpotency class $3$. We have proved that if $3$ does not divide the order of the group $G$, then the nilpotency class of the associated gyrogroup ${^\circ}G$ is same as that of the group $G$. We have also studied the problem of abelian inner mapping group in this context.<br />Comment: Comments are welcome

Subjects

Subjects :
Mathematics - Group Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2104.12994
Document Type :
Working Paper