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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F. Richman, C.P. Walker (1966)
Bulletin de la Société Mathématique de France
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P. Hill, C. Megibben (1964)
Bulletin de la Société Mathématique de France
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Roger M. Bryant, Paul D. Foy (1995)
Rendiconti del Seminario Matematico della Università di Padova
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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.
John M. Irwin, K. Benabdallah (1968)
Bulletin de la Société Mathématique de France
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J. R. Martínez Verduch (1976)
Collectanea Mathematica
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Martyn Dixon, Yalcin Karatas (2012)
Open Mathematics
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In this paper we investigate the structure of X-groups in which every subgroup is permutable or of finite rank. We show that every subgroup of such a group is permutable.