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Mousavi, Hamid. (1393). Non-nilpotent groups with three conjugacy classes of non-normal subgroups. , 3(2), 1-7. doi: 10.22108/ijgt.2014.3533
Hamid Mousavi. "Non-nilpotent groups with three conjugacy classes of non-normal subgroups". , 3, 2, 1393, 1-7. doi: 10.22108/ijgt.2014.3533
Mousavi, Hamid. (1393). 'Non-nilpotent groups with three conjugacy classes of non-normal subgroups', , 3(2), pp. 1-7. doi: 10.22108/ijgt.2014.3533
Mousavi, Hamid. Non-nilpotent groups with three conjugacy classes of non-normal subgroups. , 1393; 3(2): 1-7. doi: 10.22108/ijgt.2014.3533

Non-nilpotent groups with three conjugacy classes of non-normal subgroups

International Journal of Group Theory
مقاله 1، دوره 3، شماره 2، شهریور 2014، صفحه 1-7    اصل مقاله (266.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2014.3533
نویسنده
Hamid Mousavi*
Department of Mathematics, University of Tabriz, P.O.Box 51666-17766, Tabriz, Iran
چکیده
‎For a finite group $G$ let $\nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$‎. ‎The aim of this paper is to classify all the non-nilpotent groups with $\nu(G)=3$‎.
کلیدواژه‌ها
Non-Normal Subgroup؛ conjugacy class؛ Non-Nilpotent Group
مراجع
R. Brandl (1995) Groups with few non-normal subgroups Comm. Algebra 23 (6), 2091-2098
R. La Haye (1996) Some expicit bounds in groups with a finite number of non-normal subgroups Comm. Algebra 25 (12), 3803-3821
H. Mousavi (1999) On finite groups with few non-normal subgroups Comm. Algebra 27 (7), 3143-3451
J. J. Rotman (1995) An Introduction to the theory of groups 4th ed., Springer-Verlag
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