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.
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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.
Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Beiträge zur Algebra und Geometrie
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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.
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.
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