Displaying similar documents to “The endocenter and its applications to quasigroup representation theory”

On small distances of small 2-groups

Natalia Zhukavets (2001)

Commentationes Mathematicae Universitatis Carolinae

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The paper reports the results of a search for pairs of groups of order n that can be placed in the distance n 2 / 4 for the case when n ∈ { 16 , 32 } . The constructions that are used are of the general character and some of their properties are discussed as well.

On multiplication groups of relatively free quasigroups isotopic to Abelian groups

Aleš Drápal (2005)

Czechoslovak Mathematical Journal

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If Q is a quasigroup that is free in the class of all quasigroups which are isotopic to an Abelian group, then its multiplication group M l t Q is a Frobenius group. Conversely, if M l t Q is a Frobenius group, Q a quasigroup, then Q has to be isotopic to an Abelian group. If Q is, in addition, finite, then it must be a central quasigroup (a T -quasigroup).