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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Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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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.
John G. Thompson, Zvonimir Janko (1970)
Mathematische Zeitschrift
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Kondrat'ev, A.S., Guo, Wenbin (2009)
Sibirskij Matematicheskij Zhurnal
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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.
Hedwig Sandlöbes, Ulrich Schoenwaelder (1979)
Mathematische Zeitschrift
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([unknown])
Algebra i Logika
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W. Plesken, C.R. Leedham-Green (1986)
Mathematische Zeitschrift
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A. Grzegorek (1979)
Colloquium Mathematicae
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Michel Broué, Gunter Malle (1992)
Mathematische Annalen
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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.
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.
Wenai Yan, Baojun Li, Zhirang Zhang (2013)
Colloquium Mathematicae
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Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
Chigira, Naoki, Iiyori, Nobuo, Yamaki, Hiroyoshi (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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G. Miller (1904)
Prace Matematyczno-Fizyczne
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Michael J. Collins (1971)
Mathematische Zeitschrift
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