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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. © 2017 The Mathematical Society of Japan.

Registro:

Documento: Artículo
Título:Doubly transitive groups and cyclic quandles
Autor:Vendramin, L.
Filiación:Departamento de Matemática, FCEN, Universidad de Buenos Aires, Pab. I, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Doubly-transitive groups; Finite quandles; Quandles of cyclic type; Two-point homogeneous quandles
Año:2017
Volumen:69
Número:3
Página de inicio:1051
Página de fin:1057
DOI: http://dx.doi.org/10.2969/jmsj/06931051
Título revista:Journal of the Mathematical Society of Japan
Título revista abreviado:J. Math. Soc. Jpn.
ISSN:00255645
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255645_v69_n3_p1051_Vendramin

Referencias:

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Citas:

---------- APA ----------
(2017) . Doubly transitive groups and cyclic quandles. Journal of the Mathematical Society of Japan, 69(3), 1051-1057.
http://dx.doi.org/10.2969/jmsj/06931051
---------- CHICAGO ----------
Vendramin, L. "Doubly transitive groups and cyclic quandles" . Journal of the Mathematical Society of Japan 69, no. 3 (2017) : 1051-1057.
http://dx.doi.org/10.2969/jmsj/06931051
---------- MLA ----------
Vendramin, L. "Doubly transitive groups and cyclic quandles" . Journal of the Mathematical Society of Japan, vol. 69, no. 3, 2017, pp. 1051-1057.
http://dx.doi.org/10.2969/jmsj/06931051
---------- VANCOUVER ----------
Vendramin, L. Doubly transitive groups and cyclic quandles. J. Math. Soc. Jpn. 2017;69(3):1051-1057.
http://dx.doi.org/10.2969/jmsj/06931051