A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.
Anahtar Kelimeler:
Turk. J. Math., 28, (2004), 383-386. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.28, iss.4.
A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.
Keywords:
Turk. J. Math., 28, (2004), 383-386. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.28, iss.4.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
On Simultaneous Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Ideal Theory in Topological Algebras
A Note On Groups With All Subgroups Subnormal
A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal
Coisotropic Submanifolds of a Semi-Riemannian Manifold
Bayram ŞAHİN, H. Bayram KARADAĞ, Rıfat GÜNEŞ, Erol KILIÇ
On Local Hörmander-Beurling Spaces
F- invariant submanifolds of Kaehlerian product manifold