Sylow theory in locally finite groups
B. Hartley (1972)
Compositio Mathematica
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Displaying similar documents to “A note on barely transitive permutation groups satisfying ”
Sylow theory in locally finite groups
Totally inert groups
V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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On finite simple groups of characteristics 2 type
Daniel Gorenstein (1969)
Publications Mathématiques de l'IHÉS
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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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Erratum to: “Subnormal, permutable, and embedded subgroups in finite groups”
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.
Subnormal, permutable, and embedded subgroups in finite groups
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...
Finite groups in which -quasinormality is a transitive relation
Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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On some soluble groups in which -subgroups form a lattice
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.
Groups with every subgroup ascendant-by-finite
Sergio Camp-Mora (2013)
Open Mathematics
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A subgroup H of a group G is called ascendant-by-finite in G if there exists a subgroup K of H such that K is ascendant in G and the index of K in H is finite. It is proved that a locally finite group with every subgroup ascendant-by-finite is locally nilpotent-by-finite. As a consequence, it is shown that the Gruenberg radical has finite index in the whole group.