Simple quasigroups whose inner permutations commute
Tomáš Kepka, K. K. Ščukin (1993)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Simple quasigroups with commuting inner permutations are medial.
Displaying similar documents to “A note on simple medial quasigroups”
Simple quasigroups whose inner permutations commute
On multiplication groups of relatively free quasigroups isotopic to Abelian groups
Aleš Drápal (2005)
Czechoslovak Mathematical Journal
Similarity:
If is a quasigroup that is free in the class of all quasigroups which are isotopic to an Abelian group, then its multiplication group is a Frobenius group. Conversely, if is a Frobenius group, a quasigroup, then has to be isotopic to an Abelian group. If is, in addition, finite, then it must be a central quasigroup (a -quasigroup).
Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
Grzegorz Bińczak, Joanna Kaleta (2014)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.
The endocenter and its applications to quasigroup representation theory
Jon D. Phillips, Jonathan D. H. Smith (1991)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A construction is given, in a variety of groups, of a ``functorial center'' called the endocenter. The endocenter facilitates the identification of universal multiplication groups of groups in the variety, addressing the problem of determining when combinatorial multiplication groups are universal.