Finite groups with weakly -semipermutable subgroups
Changwen Li (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Changwen Li (2011)
Rendiconti del Seminario Matematico della Università di Padova
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James Beidleman, Mathew Ragland (2012)
Open Mathematics
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The original version of the article was published in Central European Journal of Mathematics, 2011, 9(4), 915–921, DOI: 10.2478/s11533-011-0029-8. Unfortunately, the original version of this article contains a mistake: Lemma 2.1 (2) is not true. We correct Lemma 2.2 (2) and Theorem 1.1 in our paper where this lemma was used.
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...
Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Daniel Gorenstein (1969)
Publications Mathématiques de l'IHÉS
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A. Ballester-Bolinches, M. D. Pérez-Ramos (1995)
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.