On the structure and automorphism group of finite alexander quandles

Amiel Ferman; Tahl Nowik; Mina Teicher

doi:10.1142/S0218216511008863

On the structure and automorphism group of finite alexander quandles

Amiel Ferman, Tahl Nowik, Mina Teicher

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that an Alexander quandle of prime order is generated by any pair of distinct elements. Furthermore, we prove for such a quandle that any ordered pair of distinct elements can be sent to any other such pair by an automorphism of the quandle.

Original language	English
Pages (from-to)	463-468
Number of pages	6
Journal	Journal of Knot Theory and its Ramifications
Volume	20
Issue number	3
DOIs	https://doi.org/10.1142/S0218216511008863
State	Published - Mar 2011

Keywords

Alexander quandles
finite quandles

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1142/S0218216511008863

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title = "On the structure and automorphism group of finite alexander quandles",

abstract = "We prove that an Alexander quandle of prime order is generated by any pair of distinct elements. Furthermore, we prove for such a quandle that any ordered pair of distinct elements can be sent to any other such pair by an automorphism of the quandle.",

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AU - Nowik, Tahl

AU - Teicher, Mina

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AB - We prove that an Alexander quandle of prime order is generated by any pair of distinct elements. Furthermore, we prove for such a quandle that any ordered pair of distinct elements can be sent to any other such pair by an automorphism of the quandle.

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DO - 10.1142/S0218216511008863

M3 - مقالة

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EP - 468

JO - Journal of Knot Theory and its Ramifications

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On the structure and automorphism group of finite alexander quandles

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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