Turkish Journal of Mathematics

Linear Automorphism Groups of Relatively Free Groups
Alexander Yu. OLSHANSKII
Department of Mathematics
Vanderbilt University, USA
e-mail: alexander.olshanskiy@vanderbilt.edu
and
Department of Higher Algebra MEHMAT,
Moscow State University, RUSSIA

Abstract: Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group.

Turk. J. Math., 31, (2007), 105-111.
Full text: pdf
Other articles published in the same issue: Turk. J. Math.,vol.31,iss.Suppl.