Distributive and trimedial quasigroups of order 243

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368785" target="_blank" >RIV/00216208:11320/17:10368785 - isvavai.cz</a>
Alternative codes found
RIV/60460709:41310/17:74291
Result on the web
<a href="http://dx.doi.org/10.1016/j.disc.2016.08.022" target="_blank" >http://dx.doi.org/10.1016/j.disc.2016.08.022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.disc.2016.08.022" target="_blank" >10.1016/j.disc.2016.08.022</a>

Result language
angličtina
Original language name
Distributive and trimedial quasigroups of order 243
Original language description
We enumerate three classes of non-medial quasigroups of order 243 = 3(5) up to isomorphism. There are 17 004 non-medial trimedial quasigroups of order 243 (extending the work of Kepka, Beneteau and Lacaze), 92 non-medial distributive quasigroups of order 243 (extending the work of Kepka and Nemec), and 6 non-medial distributive Mendelsohn quasigroups of order 243 (extending the work of Donovan, Griggs, McCourt, Oprsal and Stanovsky). The enumeration technique is based on affine representations over commutative Moufang loops, on properties of automorphism groups of commutative Moufang loops, and on computer calculations with the LOOPS package in GAP.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA13-01832S" target="_blank" >GA13-01832S: General algebra and its connections to computer science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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