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.

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Bibliographic Details
Published inTurkish journal of mathematics Vol. 28; no. 4; pp. 383 - 386
Main Author ÖZEN, Tahire
Format Journal Article
LanguageEnglish
Published TÜBİTAK 2004
Subjects
Alt grup
group[mathematics]
Grup[matematik]
Matematik
Mathematics
Nilpotent group
Sıfır kuvvetli grup
Subgroup
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Summary: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.
Bibliography:TMUH
ISSN:1300-0098
1303-6149