On Hall subgroups of a finite group
Wenbin Guo, Alexander Skiba (2013)
Open Mathematics
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New criteria of existence and conjugacy of Hall subgroups of finite groups are given.
Displaying similar documents to “On the normalizer of a group in the Cayley representation.”
On Hall subgroups of a finite group
Topologically locally finite groups with a CC-subgroup.
Arad, Zvi, Herfort, Wolfgang (2005)
Journal of Lie Theory
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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...
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.
On -normally embedded subgroups of finite soluble groups
A. Ballester-Bolinches, M. C. Pedraza-Aguilera, M. D. Pérez-Ramos (1996)
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.
-normally embedded subgroups of finite soluble groups
A. Ballester-Bolinches, M. D. Pérez-Ramos (1995)
Rendiconti del Seminario Matematico della Università di Padova
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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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OnCSQ-normal subgroups of finite groups
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.