Abstract
Attempts have been made to introduce notion of class assigned functions k for a given group G and observed that it determines a right gyrogroup \((G, o_k)\). It is also observes that \((G, o_k)\) will be a group if and only if G is a nilpotent group of class 2 and will be a gyrogroup for a nilpotent group of class 3, where \(k(x)=1\) for all \(x\in G\setminus \{1\}\).
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Yadav, A.C. Construction of Right Gyrogroups. Natl. Acad. Sci. Lett. 42, 245–247 (2019). https://doi.org/10.1007/s40009-018-0721-3
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DOI: https://doi.org/10.1007/s40009-018-0721-3