Some examples of even quandles and their automorphism groups.

Authors

  • A. O. Isere Department of Mathematics, Ambrose Alli University, Ekpoma, 310001, Nigeria

Keywords:

Even quandles, examples, inner automorphism, centralizer, classification, isomorphism

Abstract

Quandles are non-associative algebraic structures that are idempotent and distributive. The concept of quandles is still relatively new. Hence, this work is aimed at developping a new method of constructing quandles of finite even orders. Inner automorphism groups of the examples were obtained. The centralizer of certain elements of the quandles constructed were also obtained, and these were used to classify the constructed examples up to isomorphism.

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