Note on the -nilpotency in finite groups.
Bakić, Radoš (2004)
Novi Sad Journal of Mathematics
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Bakić, Radoš (2004)
Novi Sad Journal of Mathematics
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Xiquan Liang, Dailu Li (2009)
Formalized Mathematics
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This article describes a rough subgroup with respect to a normal subgroup of a group, and some properties of the lower and the upper approximations in a group.
Yong Xu, Xianhua Li (2016)
Open Mathematics
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We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.
Leonid A. Kurdachenko, Igor Ya. Subbotin (2007)
Commentationes Mathematicae Universitatis Carolinae
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The article is dedicated to groups in which the set of abnormal and normal subgroups (-subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.
Ana Martínez Pastor (1994)
Publicacions Matemàtiques
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Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between E y ES, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, (1968), 555-564).
A. Ballester-Bolinches, M. D. Pérez-Ramos (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Francesco de Giovanni, Alessio Russo (2002)
Mathematica Slovaca
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