Isotype subgroups of mixed groups.
Megibben, Charles, Ullery, William (2001)
Commentationes Mathematicae Universitatis Carolinae
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Megibben, Charles, Ullery, William (2001)
Commentationes Mathematicae Universitatis Carolinae
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Lavrov, K.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Al-Sharo, K. (2008)
Beiträge zur Algebra und Geometrie
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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.
W. Plesken, C.R. Leedham-Green (1986)
Mathematische Zeitschrift
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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.
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.
Abdollahi, A., Ashraf, F., Shaker, S.M. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Mysovskikh, V.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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Irene Zimmermann (1989)
Mathematische Zeitschrift
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Kazakevich, V.G., Stavrova, A.K. (2004)
Zapiski Nauchnykh Seminarov POMI
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Buekenhout, Francis, Dehon, Michel, Leemans, Dimitri (1996)
Experimental Mathematics
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John G. Thompson, Zvonimir Janko (1970)
Mathematische Zeitschrift
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Emilio Bujalance (1981)
Mathematische Zeitschrift
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Xianhua Li, A. Ballester-Bolinches (2006)
Bollettino dell'Unione Matematica Italiana
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In this paper the concept of s-pair for a subgroup of a finite group is introduced and studied. It provides a uniform way to study the influence of some families of subgroups on the structure of a finite group. A criterion for a finite group to belong to a saturated formation and necessary and sufficient conditions for solubility, supersolvability and nilpotence of a finite group are given.