The endocenter and its applications to quasigroup representation theory

Jon D. Phillips; Jonathan D. H. Smith

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 3, page 417-422
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Phillips, Jon D., and Smith, Jonathan D. H.. "The endocenter and its applications to quasigroup representation theory." Commentationes Mathematicae Universitatis Carolinae 32.3 (1991): 417-422. <http://eudml.org/doc/247311>.

@article{Phillips1991,
abstract = {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.},
author = {Phillips, Jon D., Smith, Jonathan D. H.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multiplication group; quasigroup; center; variety of groups; centre; endocenter; fully invariant; multiplication groups; quasigroups},
language = {eng},
number = {3},
pages = {417-422},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The endocenter and its applications to quasigroup representation theory},
url = {http://eudml.org/doc/247311},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Phillips, Jon D.
AU - Smith, Jonathan D. H.
TI - The endocenter and its applications to quasigroup representation theory
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 3
SP - 417
EP - 422
AB - 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.
LA - eng
KW - multiplication group; quasigroup; center; variety of groups; centre; endocenter; fully invariant; multiplication groups; quasigroups
UR - http://eudml.org/doc/247311
ER -

References

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  1. Herrlich H., Strecker G.E., Category Theory, Boston, Allyn and Bacon, 1973. Zbl1125.18300MR0349791
  2. Magnus W., Karrass A., Solitar D., Combinatorial Group Theory, New York, Dover, 1976. Zbl1130.20307MR0422434
  3. Neumann H., Varieties of Groups, Berlin, Springer-Verlag, 1967. Zbl0251.20001MR0215899
  4. Robinson D.J.S., A Course in The Theory of Groups, New York, Springer-Verlag, 1982. Zbl0836.20001MR0648604
  5. Smith J.D.H., Representation Theory of Infinite Groups and Finite Quasigroups, Montréal, Les Presses de l'Université de Montréal, 1986. Zbl0609.20042MR0859373

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