3 papers
math.GR2026
Constructions and automorphisms of quandles
Valeriy G. Bardakov, Birama Sangare
We prove that if M is an abelian group and X = Alex(M, phi) is a Latin Alexander quandle with id - phi in Aut(M), then Aut(X) is isomorphic to M semidirect C_Aut(M)(phi), Inn(X) is…
math.RA2026
Idempotents, automorphism groups, and commutator widths of quandle algebras
Birama Sangare, Luc Ta
The paper develops the theory of quandle algebras. We show that over integral domains of characteristic other than 2, quandle algebras of ordered commutative quandles have no nontr…
math.GR2026
Automorphisms and antiautomorphisms of quandles
Birama Sangare
In this paper we provide the conditions under which an automorphism or an antiautomorphism of a group induces an automorphism or an antiautomorphism of the -conjugation quan…