References & Citations
Mathematics > Group Theory
Title: Construction of Gyrogroups of Order $2^n$ by Cyclic 2-Groups
(Submitted on 2 Mar 2023)
Abstract: A gyrogroup is a structure constituting from a non-empty set and a binary operation such that satisfying the left identity, and left inverse conditions, and also has the associative-like law said to be left gyroassociativity and left loop property. In this paper, we propose a method for constructing new gyrogroups of order $2^n$ by a cyclic 2-group that is $\mathbb{Z}_{2^n}$, where $n\geq 3$.
Submission history
From: Kurosh Mavaddat Nezhaad [view email][v1] Thu, 2 Mar 2023 08:42:23 GMT (11kb)
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