Buchsteiner loops: Associators and constructions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317296" target="_blank" >RIV/00216208:11320/15:10317296 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219498815500504" target="_blank" >http://dx.doi.org/10.1142/S0219498815500504</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219498815500504" target="_blank" >10.1142/S0219498815500504</a>

Result language
angličtina
Original language name
Buchsteiner loops: Associators and constructions
Original language description
Let Q be a Buchsteiner loop. We describe the associator calculus in three variables, and show that vertical bar Q vertical bar }= 32 if Q is not conjugacy closed. We also show that vertical bar Q vertical bar }= 64 if there exists x. Q such that x(2) isnot in the nucleus of x is an element of Q Furthermore, we describe a general construction that yields all proper Buchsteiner loops of order 32. Finally, we produce a Buchsteiner loop of order 128 that has both nilpotency class 3 and an abelian inner mapping group.
Czech name
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Czech description
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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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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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