Fausto De Mari (2007)
Bollettino dell'Unione Matematica Italiana
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In this paper, (generalized) soluble groups for which the set of all subgroups having infinite index in their normal closure satisfies some weak chain condition are described.
Michael Aschbacher (1981)
Mathematische Zeitschrift
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Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Maria De Falco, Francesco de Giovanni, Carmela Musella (2013)
Colloquium Mathematicae
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It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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Erfanian, Ahmad, Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Adolf Mader, Lutz Strüngmann (2005)
Rendiconti del Seminario Matematico della Università di Padova
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Ulrich F. Albrecht, Paul Hill (1987)
Czechoslovak Mathematical Journal
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Fausto De Mari, Francesco de Giovanni (2005)
Colloquium Mathematicae
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The structure of (generalized) soluble groups for which the set of all subnormal non-normal subgroups satisfies the maximal condition is described, taking as a model the known theory of groups in which normality is a transitive relation.
Kondrat'ev, A.S., Guo, Wenbin (2009)
Sibirskij Matematicheskij Zhurnal
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