Non-tame automorphisms of extensions of periodic groups

LetF be a free group andR≤F a characteristic subgroup. Automorphisms ofF/R which are induced by automorphisms ofF are called tame. In this paper we use theN-torsion invariant discovered by the first author and M. Lustig LM] to show the existence of non-tame automorphisms of free central extensions and free nilpotent extensions of Burnside groups. Partially supported by the German Israel Foundation for Research and Development (G. I. F.). Supported by a grant from the Israel Planning and Budgeting Committee.