Subgroups of locally normal groups
B. Hartley (1976)
Compositio Mathematica
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Displaying similar documents to “Complements, baseless subgroups and sylow subgroups of infinite wreath products”
Subgroups of locally normal groups
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.
On hypercentral subgroups of infinite groups
Francesco de Giovanni, Alessio Russo (2002)
Mathematica Slovaca
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On some properties of pronormal subgroups
Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)
Open Mathematics
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New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been 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.
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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