Doubly transitive groups and cyclic quandles
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- Vendramin Leandro
- Departamento de Matemática, FCEN, Universidad de Buenos Aires, Pab. I
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Abstract
<p>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.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 69 (3), 1051-1057, 2017
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390001205115878016
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- NII Article ID
- 130005906746
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 028374075
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed