Groups of homeomorphisms and normal subgroups of the group of permutations.
Ramachandran, P.T. (1991)
International Journal of Mathematics and Mathematical Sciences
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Ramachandran, P.T. (1991)
International Journal of Mathematics and Mathematical Sciences
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Cheryl E. Praeger (1974)
Mathematische Zeitschrift
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T.S. Wu, R.W. Bagley, J.S. Yang (1992)
Mathematica Scandinavica
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Changwen Li, Xuemei Zhang, Xiaolan Yi (2013)
Colloquium Mathematicae
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The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.
G. Miller (1904)
Prace Matematyczno-Fizyczne
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Al-Sharo, K. (2008)
Beiträge zur Algebra und Geometrie
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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.
Cheryl E. Praeger (1975)
Mathematische Zeitschrift
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Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Kazakevich, V.G., Stavrova, A.K. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
Pfeiffer, Götz (1997)
Experimental Mathematics
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Walter Roelcke, Martin Leischner (1988)
Mathematische Annalen
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A. Grzegorek (1979)
Colloquium Mathematicae
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Cheryl E. Praeger (1973)
Mathematische Zeitschrift
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Irene Zimmermann (1989)
Mathematische Zeitschrift
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