Construction of Right Gyrogroups

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...

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Bibliographic Details
Published inNational Academy science letters Vol. 42; no. 3; pp. 245 - 247
Main Author Yadav, Akhilesh Chandra
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.06.2019
Springer Nature B.V
Subjects
History of Science
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Short Communication
20N05
Gyrotransversals
Gyrogroups
Right gyrogroups
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Summary: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 ∈ G \ { 1 } .
ISSN:0250-541X
2250-1754
DOI:10.1007/s40009-018-0721-3