Group isotopes and a holomorphic action

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206764" target="_blank" >RIV/00216208:11320/09:00206764 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Group isotopes and a holomorphic action

Original language description

We consider the isomorphism problem for quasigroups isotopic to a group and show that the isomorphism classes correspond to orbits of an action by the holomorph of the group upon pairs of permutations of the underlying set, with one of them fixing the neutral element. The results are applied to central quasigroups and to quasigroups of order 4. We also characterize equationally those isotopes of a group in which one of the permutations is a group automorphism.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

Name of the periodical

Results in Mathematics

ISSN

1422-6383

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

3-4

Country of publishing house

DE - GERMANY

Number of pages

20

Pages from-to

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UT code for WoS article

000268904700003

EID of the result in the Scopus database

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