Finite groups with few self-normalizing subgroups
Huaguo Shi, Zhangjia Han (2012)
Colloquium Mathematicae
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We describe finite groups which contain just one conjugate class of self-normalizing subgroups.
Displaying similar documents to “The structure of finite groups and ɵ-pairs of general subgroups”
Finite groups with few self-normalizing subgroups
On Groups whose Contranormal Subgroups are Normally Complemented
Kurdachenko, L. A., Subbotin, I. Ya. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 20F16, 20E15. Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual satisfying Min-G have been obtained.
On finite groups with p-nilpotent subgroups.
Z. Janko, M.F. Newman (1963)
Mathematische Zeitschrift
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A condition for the solvability of finite groups.
Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Subgroups of finite index in nilpotent groups.
D. Segal, F.J. Grunewald, G.C. Smith (1988)
Inventiones mathematicae
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Nilpotent Subgroups of Finite Soluble Groups.
John S. Rose (1968)
Mathematische Zeitschrift
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Strong Tits alternative for subgroups of Coxeter groups.
Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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Finite groups in which the normalizers of Sylow 3-subgroups are of odd or primary index.
Kondrat'ev, A.S., Guo, Wenbin (2009)
Sibirskij Matematicheskij Zhurnal
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Nilpotent self-normalizing subgroups of soluble groups.
Roger W. Carter (1961)
Mathematische Zeitschrift
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Groups satisfying the maximal condition on subnormal non-normal subgroups
Fausto De Mari, Francesco de Giovanni (2005)
Colloquium Mathematicae
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The structure of (generalized) soluble groups for which the set of all subnormal non-normal subgroups satisfies the maximal condition is described, taking as a model the known theory of groups in which normality is a transitive relation.
Isotype subgroups of mixed groups.
Megibben, Charles, Ullery, William (2001)
Commentationes Mathematicae Universitatis Carolinae
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SE-supplemented subgroups of finite groups
Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Subnormalizers and embedding properties of subgroups of finite groups.
Mysovskikh, V.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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On the Structure of Locally Compact Topological Groups.
T.S. Wu, R.W. Bagley, J.S. Yang (1992)
Mathematica Scandinavica
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Conjugately dense subgroups in generalized FC-groups.
Erfanian, Ahmad, Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Non-nilpotent subgroups of locally graded groups
Mohammad Zarrin (2015)
Colloquium Mathematicae
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We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.