Displaying similar documents to “The narrow class groups of some ℤₚ-extensions over the rationals”

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...