3 papers
math.GR2019
General constructions of biquandles and their symmetries
Valeriy Bardakov, Timur Nasybullov, Mahender Singh
Biquandles are algebraic objects with two binary operations whose axioms encode the generalized Reidemeister moves for virtual knots and links. These objects also provide set-theor…
math.GT2018
Derivations of quandles
Neha Nanda, Mahender Singh, Manpreet Singh
The aim of this paper is to propose a theory of derivations for quandles. Given a quandle admitting an action by a quandle , derivations from to are introduced as tw…
math.GR2017
Automorphism groups of quandles and related groups
Valeriy Bardakov, Timur Nasybullov, Mahender Singh
In this paper we study different questions concerning automorphisms of quandles. For a conjugation quandle of a group we determine several subgroups of ${\rm…