Periodic linear groups factorized by mutually permutable subgroups

Maria Ferrara; Marco Trombetti

Displaying similar documents to “Periodic linear groups factorized by mutually permutable subgroups”

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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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)

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On E-S-supplemented subgroups of finite groups

Changwen Li, Xuemei Zhang, Xiaolan Yi (2013)

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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.

Isotype subgroups of mixed groups.

Megibben, Charles, Ullery, William (2001)

Commentationes Mathematicae Universitatis Carolinae

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On Groups whose Contranormal Subgroups are Normally Complemented

Kurdachenko, L. A., Subbotin, I. Ya. (2011)

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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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Mysovskikh, V.I. (2002)

Zapiski Nauchnykh Seminarov POMI

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Submodular Subgroups in Finite Groups.

Irene Zimmermann (1989)

Mathematische Zeitschrift

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On supplements of subgroups of finite groups

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.