Medial quasigroups of prime square order
Commentationes Mathematicae Universitatis Carolinae (2016)
- Volume: 57, Issue: 4, page 585-590
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topStanovský, David. "Medial quasigroups of prime square order." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 585-590. <http://eudml.org/doc/287567>.
@article{Stanovský2016,
abstract = {We prove that, for any prime $p$, there are precisely $2p^4-p^3-p^2-3p-1$ medial quasigroups of order $p^2$, up to isomorphism.},
author = {Stanovský, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {medial quasigroup; quasigroup affine over abelian group; classification of quasigroups; enumeration of quasigroups},
language = {eng},
number = {4},
pages = {585-590},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Medial quasigroups of prime square order},
url = {http://eudml.org/doc/287567},
volume = {57},
year = {2016},
}
TY - JOUR
AU - Stanovský, David
TI - Medial quasigroups of prime square order
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 585
EP - 590
AB - We prove that, for any prime $p$, there are precisely $2p^4-p^3-p^2-3p-1$ medial quasigroups of order $p^2$, up to isomorphism.
LA - eng
KW - medial quasigroup; quasigroup affine over abelian group; classification of quasigroups; enumeration of quasigroups
UR - http://eudml.org/doc/287567
ER -
References
top- Drápal A., 10.1007/s00025-009-0370-4, Result. Math. 54 (2009), no. 3–4, 253–272. Zbl1190.20049MR2534446DOI10.1007/s00025-009-0370-4
- Hou X., Finite modules over , J. Knot Theory Ramifications 21 (2012), no. 8, 1250079, 28 pp. MR2925432
- Hulpke A., Stanovský D., Vojtěchovský P., 10.1016/j.jpaa.2015.07.014, J. Pure Appl. Algebra 220 (2016), no. 2, 735–758. Zbl1326.57025MR3399387DOI10.1016/j.jpaa.2015.07.014
- Kirnasovsky O.U., Linear isotopes of small order groups, Quasigroups Related Systems 2 (1995), no. 1, 51–82. Zbl0951.20508MR1485747
- Macdonald I.G., 10.1017/S0004972700006882, Bull. Austral. Math. Soc. 23 (1981), no. 1, 23–48. Zbl0445.20029MR0615131DOI10.1017/S0004972700006882
- Sim H.-S., Song H.-J., 10.7858/eamj.2014.019, East Asian Math. J. 30 (2014), no. 3, 293–302. Zbl1339.20065DOI10.7858/eamj.2014.019
- Sokhatsky F., Syvakivskij P., On linear isotopes of cyclic groups, Quasigroups Related Systems 1 (1994), no. 1, 66–76. Zbl0951.20510MR1327947
- Stanovský D., A guide to self-distributive quasigroups, or latin quandles, Quasigroups Related Systems 23 (2015), no. 1, 91–128. Zbl1328.20085MR3353113
- Stanovský D., Vojtěchovský P., Central and medial quasigroups of small order, Bul. Acad. Ştiinte Repub. Moldova Mat. 80 (2016), no. 1, 24–40. Zbl1349.20075MR3528005
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.