  In Classical Knot Theory and in the new Theory of Quantum Invariants
substantial effort was directed toward the search for unknotting moves on
links. We solve, in this note, several classical problems concerning unknotting
moves. Our approach uses a new concept, Burnside groups of links, which
establishes unexpected relationship between Knot Theory and Group Theory. Our
method has the potential to be used in computational biology in the analysis of
DNA via tangle embedding theory, as developed by D.W.Sumners.
