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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A. Ballester-Bolinches, M. C. Pedraza-Aguilera, M. D. Pérez-Ramos (1996)
Rendiconti del Seminario Matematico della Università di Padova
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James C. Beidleman (1971)
Compositio Mathematica
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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.
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.
Daniel Gorenstein (1969)
Publications Mathématiques de l'IHÉS
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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.
Roger M. Bryant, Paul D. Foy (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Yangming Li (2010)
Rendiconti del Seminario Matematico della Università di Padova
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