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arXiv · 2104.12994

Gyrogroups associated with groups

Ratan Lal·Vipul Kakkar
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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.

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Ratan Lal, Vipul Kakkar. 2021-04-27. Gyrogroups associated with groups. https://arxiv.org/abs/2104.12994

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