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Automorphisms of Relatively Free Groups in the Variety N2A {wedge} AN2 {wedge} Nc
Authors:Papistas   Athanassios I.
Affiliation:Department of Mathematics, Aristotle University of Thessaloniki Thessaloniki GR 54006, Greece, apapist{at}ccf.auth.gr
Abstract:For positive integers n and c, with n ≥ 2, let Gn, c be a relativelyfree group of finite rank n in the variety N2A {wedge} AN2 {wedge} Nc. Itis shown that the subgroup of the automorphism group Aut(Gn,c) of Gn, c generated by the tame automorphisms and an explicitlydescribed finite set of IA-automorphisms of Gn, c has finiteindex in Aut(Gn, c). Furthermore, it is proved that there areno non-trivial elements of Gn, c fixed by every tame automorphismof Gn, c.
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