On cover-avoiding subgroups of Sylow subgroups of finite groups
Yangming Li (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Yangming Li (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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James Beidleman, Mathew Ragland (2011)
Open Mathematics
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The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is...
Khazal, R., Mukherjee, N.P. (1989)
International Journal of Mathematics and Mathematical Sciences
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Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Daniel Gorenstein (1969)
Publications Mathématiques de l'IHÉS
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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.