Alexander Yu OLSHANSKII

7281

Linear Automorphism Groups of Relatively Free Groups

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.
Anahtar Kelimeler:

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

Linear Automorphism Groups of Relatively Free Groups

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.
Keywords:

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

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Noetherian Hopf Algebras

Kenneth A BROWN

Linear Automorphism Groups of Relatively Free Groups

Alexander Yu OLSHANSKII

Lengths of Subsets in Coxeter Groups

Sarah B. HART, Peter J. ROWLEY

Black Box Groups

Şükrü YALÇINKAYA

Commutators, Words, Conjugacy Classes and Character Methods

Aner SHALEV

Quasi-Permutation Representations of Groups of Order 64

Houshang BEHRAVESH, Ghodrat GHAFFARZADEH

Finitary Actions and Invariant Ideals

D:S PASSMAN

On Modular Lie Representations of Finite Groups

R.M. BRYANT, Ralph STÖHR

Barely Transitive Groups

Mahmut KUZUCUOĞLU

Hartley's theorem on representations of the general linear groups and classical groups

A. E. ZALESSKI