Non-tame automorphisms of extensions of periodic groups
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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.
KeywordsGroup Ring Commutator Subgroup Invariant Subgroup Characteristic Subgroup Lower Central Series
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- [LM] M. Lustig and Y. Moriah,Generating systems of groups and Reidemeister-Whitehead torsion, J. Algebra, to appear.Google Scholar