On supplements of subgroups of finite groups

Xianhua Li; A. Ballester-Bolinches

Displaying similar documents to “On supplements of subgroups of finite groups”

On E-S-supplemented subgroups of finite groups

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.

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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Subgroups normalized by the commutator subgroup of the Levi subgroup.

Kazakevich, V.G., Stavrova, A.K. (2004)

Zapiski Nauchnykh Seminarov POMI

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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.

On some maximal $S$ -quasinormal subgroups of finite groups.

Al-Sharo, K. (2008)

Beiträge zur Algebra und Geometrie

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On the number of normal subgroups of a given prime index

Jiří Parobek (1976)

Časopis pro pěstování matematiky

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A proof of Ph. Hall's theorem on dimension subgroups

A. Grzegorek (1979)

Colloquium Mathematicae

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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.

Pronormal and subnormal subgroups and permutability

James Beidleman, Hermann Heineken (2003)

Bollettino dell'Unione Matematica Italiana

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We describe the finite groups satisfying one of the following conditions: all maximal subgroups permute with all subnormal subgroups, (2) all maximal subgroups and all Sylow $p$ -subgroups for $p < 7$ permute with all subnormal subgroups.

On Finite Simple Groups whose Sylow 2-Subgroups have no Normal Elementary Subgroups of Order 8.

John G. Thompson, Zvonimir Janko (1970)

Mathematische Zeitschrift

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Conditions for p-supersolubility and p-nilpotency of finite soluble groups

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.