Displaying similar documents to “A Note on the Normality of Unramified, Abelian Extensions of Quadratic Extensions.”

Inverse property of nonassociative abelian extensions

Ágota Figula, Péter T. Nagy (2020)

Commentationes Mathematicae Universitatis Carolinae

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Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup are T-quasigroups. We limit our study to extensions in which the quasigroups determining the multiplication are linear functions without constant term, called linear abelian extensions. We characterize constructively such extensions with left-, right-, or inverse properties using a general construction according...