Small loops of nilpotency class 3 with commutative inner mapping groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104958" target="_blank" >RIV/00216208:11320/11:10104958 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/JGT.2010.062" target="_blank" >http://dx.doi.org/10.1515/JGT.2010.062</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/JGT.2010.062" target="_blank" >10.1515/JGT.2010.062</a>
Alternative languages
Result language
angličtina
Original language name
Small loops of nilpotency class 3 with commutative inner mapping groups
Original language description
Groups with commuting inner mappings are of nilpotency class at most 2, but there exist loops with commuting inner mappings and of nilpotency class higher than 2, called loops of Csörgő type. The paper describes a general construction of such loops thatis based on cocycle-like systems defined on 2-groups.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F09%2F0296" target="_blank" >GA201/09/0296: Nonassociativity and multilinearity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Group Theory
ISSN
1433-5883
e-ISSN
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Volume of the periodical
2011
Issue of the periodical within the volume
14
Country of publishing house
DE - GERMANY
Number of pages
27
Pages from-to
547-573
UT code for WoS article
000292184200003
EID of the result in the Scopus database
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