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Title: The endocenter and its applications to quasigroup representation theory (English)
Author: Phillips, J. D.
Author: Smith, J. D. H.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 32
Issue: 3
Year: 1991
Pages: 417-422
Category: math
Summary: 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. (English)
Keyword: multiplication group
Keyword: quasigroup
Keyword: center
MSC: 20E07
MSC: 20E10
MSC: 20F14
MSC: 20N05
idZBL: Zbl 0748.20016
idMR: MR1159788
Date available: 2009-01-08T17:45:36Z
Last updated: 2012-04-30
Stable URL:
Reference: [HS] Herrlich H., Strecker G.E.: Category Theory.Boston, Allyn and Bacon, 1973. Zbl 1125.18300, MR 0349791
Reference: [MKS] Magnus W., Karrass A., Solitar D.: Combinatorial Group Theory.New York, Dover, 1976. Zbl 1130.20307, MR 0422434
Reference: [Ne] Neumann H.: Varieties of Groups.Berlin, Springer-Verlag, 1967. Zbl 0251.20001, MR 0215899
Reference: [Rb] Robinson D.J.S.: A Course in The Theory of Groups.New York, Springer-Verlag, 1982. Zbl 0836.20001, MR 0648604
Reference: [Sm] Smith J.D.H.: Representation Theory of Infinite Groups and Finite Quasigroups.Montréal, Les Presses de l'Université de Montréal, 1986. Zbl 0609.20042, MR 0859373


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