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Few associative triples, isotopisms and groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10383184" target="_blank" >RIV/00216208:11320/18:10383184 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s10623-017-0341-9" target="_blank" >https://doi.org/10.1007/s10623-017-0341-9</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10623-017-0341-9" target="_blank" >10.1007/s10623-017-0341-9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Few associative triples, isotopisms and groups

  • Original language description

    Let Q be a quasigroup. For let be the principal isotope . Put and assume that . Then , and for every there is , where . If G is a group and is an orthomorphism, then for every . A detailed case study of is made for the situation when , and both and are &quot;natural&quot; near-orthomorphisms. Asymptotically, if G is an abelian group of order n. Computational results: and , where . There are also determined minimum values for a(G(alpha,beta)), G a group of order &lt;= 8.

  • Czech name

  • Czech description

Classification

  • 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

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Designs, Codes, and Cryptography

  • ISSN

    0925-1022

  • e-ISSN

  • Volume of the periodical

    86

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

    555-568

  • UT code for WoS article

    000425960900006

  • EID of the result in the Scopus database

    2-s2.0-85012113192