Geodesic
The endocenter and its applications to quasigroup representation theory
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 417-422.

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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.
Classification : 20E07, 20E10, 20F14, 20N05
Keywords: multiplication group; quasigroup; center 
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     title = {The endocenter and its applications to quasigroup representation theory},
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Phillips, J. D.; Smith, J. D. H. The endocenter and its applications to quasigroup representation theory. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 417-422. http://geodesic.mathdoc.fr/item/CMUC_1991__32_3_a1/