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.
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
Keywords: multiplication group; quasigroup; center
@article{CMUC_1991_32_3_a1,
author = {Phillips, J. D. and Smith, J. D. H.},
title = {The endocenter and its applications to quasigroup representation theory},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {417--422},
year = {1991},
volume = {32},
number = {3},
mrnumber = {1159788},
zbl = {0748.20016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a1/}
}
TY - JOUR AU - Phillips, J. D. AU - Smith, J. D. H. TI - The endocenter and its applications to quasigroup representation theory JO - Commentationes Mathematicae Universitatis Carolinae PY - 1991 SP - 417 EP - 422 VL - 32 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a1/ LA - en ID - CMUC_1991_32_3_a1 ER -
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/
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