Title
Few associative triples, isotopisms and groups.
Abstract
Let be a quasigroup. For let be the principal isotope . Put and assume that . Then , and for every there is , where . If 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 “natural” near-orthomorphisms. Asymptotically, if is an abelian group of order . Computational results: and , where . There are also determined minimum values for , a group of order .
Year
DOI
Venue
2018
https://doi.org/10.1007/s10623-017-0341-9
Des. Codes Cryptography
Keywords
Field
DocType
Quasigroup,Associative triple,Associativity index,Isotope,Hash function,Primary 20N05,Secondary 05E15
Discrete mathematics,Abelian group,Combinatorics,Mathematics
Journal
Volume
Issue
ISSN
86
3
0925-1022
Citations 
PageRank 
References 
1
0.35
1
Authors
2
Name
Order
Citations
PageRank
Aleš Drápal13512.73
Viliam Valent210.35