Constructions of quandles over groups and rings (Q6610186)

The authors present some constructions of quandles over groups and rings using a number of methods. First extending a trivial quandle by a group with a nontrivial abelian subgroup (Theorem 1), then constructing a quandle over a nonabelian group by an arbitrary antiautomorphism (Theorem 3), further costructing a quandle from generalized Alexander quandles and a quandle over an \(n\)-dimensional module.