Simple quasigroups whose inner permutations commute
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 2, page 223-227
- ISSN: 0010-2628
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topKepka, Tomáš, and Ščukin, K. K.. "Simple quasigroups whose inner permutations commute." Commentationes Mathematicae Universitatis Carolinae 34.2 (1993): 223-227. <http://eudml.org/doc/247468>.
@article{Kepka1993,
abstract = {Simple quasigroups with commuting inner permutations are medial.},
author = {Kepka, Tomáš, Ščukin, K. K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasigroup; inner permutation; inner permutation group; inner multiplication groups; cancellative congruences; -simple medial quasigroups; prime power order},
language = {eng},
number = {2},
pages = {223-227},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Simple quasigroups whose inner permutations commute},
url = {http://eudml.org/doc/247468},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Kepka, Tomáš
AU - Ščukin, K. K.
TI - Simple quasigroups whose inner permutations commute
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 2
SP - 223
EP - 227
AB - Simple quasigroups with commuting inner permutations are medial.
LA - eng
KW - quasigroup; inner permutation; inner permutation group; inner multiplication groups; cancellative congruences; -simple medial quasigroups; prime power order
UR - http://eudml.org/doc/247468
ER -
References
top- Itô N., Über das Produkt von zwei abelschen Gruppen, Math. Z. 62 (1955), 400-401. (1955) MR0071426
- Ježek J., Kepka T., Varieties of abelian quasigroups, Czech. Math. J. 27 (1977), 473-503. (1977) MR0450446
- Kepka T., Multiplication groups of some quasigroups, Colloq. Math. Soc. J. Bolyai 29 (1977), 459-465. (1977) MR0660883
- Kepka T., Quasigroups having at most three inner mappings, Acta Univ. Carolinae Math. Phys. 30 (1989), 3-11. (1989) Zbl0702.20053MR1046070
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