Add to ORKGWe present methods of constructing examples of quandles of order 3n, where n is greater or equal to 3. The necessary and sufficient conditions for the constructed examples to be (i) connected (ii) group (conjugate) (iii) involutory and (iv) Alexander quandles are examined and presented. Two particular examples from these methods are presented for illustration purpose and their properties are obtained, and these are used in classifying the constructed examples up to isomorphism.Comment: Pre-prin
We show that quandle rings and their idempotents lead to proper enhancements of the well-known quand...
We introduce the notion of an orbit series in a quandle. Using this notion we define four families o...
AbstractQuandles have two operations corresponding to the operations of conjugation x ▷ y = y−1xy an...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Quandles are self-distributive, right-invertible, idempotent algebras. A group with conjugation for ...
This thesis arose from a desire to better understand the structures of automorphism groups and inner...
AbstractWe calculate some quandle cohomology groups; the rational cohomology groups of any finite Al...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures originally introduced independently by David ...
Motivated by the construction of free quandles and Dehn quandles of orientable surfaces, we introduc...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
For any twisted conjugate quandle $Q$, and in particular any Alexander quandle, there exists a group...
The paper develops further the theory of quandle rings which was introduced by the authors in a rece...
A nilpotent quandle is a quandle whose inner automorphism group is nilpotent. Such quandles have bee...
We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite conne...
We show that quandle rings and their idempotents lead to proper enhancements of the well-known quand...
We introduce the notion of an orbit series in a quandle. Using this notion we define four families o...
AbstractQuandles have two operations corresponding to the operations of conjugation x ▷ y = y−1xy an...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Quandles are self-distributive, right-invertible, idempotent algebras. A group with conjugation for ...
This thesis arose from a desire to better understand the structures of automorphism groups and inner...
AbstractWe calculate some quandle cohomology groups; the rational cohomology groups of any finite Al...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures originally introduced independently by David ...
Motivated by the construction of free quandles and Dehn quandles of orientable surfaces, we introduc...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
For any twisted conjugate quandle $Q$, and in particular any Alexander quandle, there exists a group...
The paper develops further the theory of quandle rings which was introduced by the authors in a rece...
A nilpotent quandle is a quandle whose inner automorphism group is nilpotent. Such quandles have bee...
We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite conne...
We show that quandle rings and their idempotents lead to proper enhancements of the well-known quand...
We introduce the notion of an orbit series in a quandle. Using this notion we define four families o...
AbstractQuandles have two operations corresponding to the operations of conjugation x ▷ y = y−1xy an...