On a generalization of groups with all subgroups subnormal
A. Arikan, T. Özen (2004)
Rendiconti del Seminario Matematico della Università di Padova
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A. Arikan, T. Özen (2004)
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.
Saad Adnan (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.
Bernhard Amberg (1976)
Rendiconti del Seminario Matematico della Università di Padova
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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.