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On rack homology groups of finite quandles via permutations

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A quandle is a set equipped with a binary operation satisfying three quandle axioms. It also can be expressed as a sequence of permutations of the underlying set satisfying certain… Click to show full abstract

A quandle is a set equipped with a binary operation satisfying three quandle axioms. It also can be expressed as a sequence of permutations of the underlying set satisfying certain conditions. In this paper, we will calculate the second rack homology group of the disjoint union of two finite quandles and the second and third rack homology groups of certain type of finite quandles.

Keywords: rack homology; groups finite; quandles via; finite quandles; homology groups

Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2019

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