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dc.contributor.author
Vendramin, Claudio Leandro  
dc.date.available
2018-08-14T17:45:16Z  
dc.date.issued
2017-07  
dc.identifier.citation
Vendramin, Claudio Leandro; Doubly transitive groups and cyclic quandles; Mathematical Society of Japan; Journal Of The Mathematical Society Of Japan; 69; 3; 7-2017; 1051-1057  
dc.identifier.issn
0025-5645  
dc.identifier.uri
http://hdl.handle.net/11336/55429  
dc.description.abstract
We prove that for n > 2 there exists a quandle of cyclic type of size n if and only if n is a power of a prime number. This establishes a conjecture of S. Kamada, H. Tamaru and K. Wada. As a corollary, every finite quandle of cyclic type is an Alexander quandle. We also prove that finite doubly transitive quandles are of cyclic type. This establishes a conjecture of H. Tamaru.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Mathematical Society of Japan  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Doubly-Transitive Groups  
dc.subject
Finite Quandles  
dc.subject
Quandles of Cyclic Type  
dc.subject
Two-Point Homogeneous Quandles  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Doubly transitive groups and cyclic quandles  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-08-14T14:13:46Z  
dc.journal.volume
69  
dc.journal.number
3  
dc.journal.pagination
1051-1057  
dc.journal.pais
Japón  
dc.description.fil
Fil: Vendramin, Claudio Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
Journal Of The Mathematical Society Of Japan  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2969/jmsj/06931051  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.jmsj/1499846516  

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