A Note On Groups With All Subgroups Subnormal

We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.

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Bibliographic Details
Published inTurkish journal of mathematics Vol. 28; no. 4; pp. 399 - 413
Main Author ARIKAN, Ahmet
Format Journal Article
LanguageEnglish
Published TUBITAK 01.04.2004
TÜBİTAK
Subjects
Alt grup
group[mathematics]
Grup[matematik]
Matematik
Mathematics
Nilpotent
Sıfır kuvvetli
Subgroup
Turk. J. Math., 28, , 415-418. Full text: pdf Other articles published in the same issue: Turk. J. Math.,vol.28,iss.4
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Summary:We prove that if G is a periodic group with all subgroups subnormal, and if for every x, y \in G, G is an FC-group, then G is nilpotent.
Bibliography:http://dergipark.ulakbim.gov.tr/tbtkmath/article/view/5000020862
TMUH
ISSN:1303-6149
1300-0098
1303-6149