The endocenter and its applications to quasigroup representation theory
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 417-422 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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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/

[HS] Herrlich H., Strecker G.E.: Category Theory. Boston, Allyn and Bacon, 1973. | MR | Zbl

[MKS] Magnus W., Karrass A., Solitar D.: Combinatorial Group Theory. New York, Dover, 1976. | MR | Zbl

[Ne] Neumann H.: Varieties of Groups. Berlin, Springer-Verlag, 1967. | MR | Zbl

[Rb] Robinson D.J.S.: A Course in The Theory of Groups. New York, Springer-Verlag, 1982. | MR | Zbl

[Sm] Smith J.D.H.: Representation Theory of Infinite Groups and Finite Quasigroups. Montréal, Les Presses de l'Université de Montréal, 1986. | MR | Zbl