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ON THE STRUCTURE AND AUTOMORPHISM GROUP OF FINITE ALEXANDER QUANDLES

Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

This article was submitted as part of the first author's PhD Thesis at Bar-Ilan University, Ramat-Gan Israel, written under the supervision of Mina Teicher and Tahl Nowik.

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TAHL NOWIK

Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

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MINA TEICHER

Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

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https://doi.org/10.1142/S0218216511008863Cited by:6 (Source: Crossref)

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.

Keywords:

AMSC: 57M27

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