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 “Topologically locally finite groups with a CC-subgroup.”
On Hall subgroups of a finite group
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 hypercentral subgroups of infinite groups
Francesco de Giovanni, Alessio Russo (2002)
Mathematica Slovaca
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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.
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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Solvable groups with many BFC-subgroups.
O. D. Artemovych (2000)
Publicacions Matemàtiques
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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.