-essential subgroups of abelian groups. II.
Jindřich Bečvář (1976)
Commentationes Mathematicae Universitatis Carolinae
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Jindřich Bečvář (1976)
Commentationes Mathematicae Universitatis Carolinae
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Silvana Franciosi, Francesco de Giovanni (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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A subgroup of a group is nearly maximal if the index is infinite but every subgroup of properly containing has finite index, and the group is called nearly if all its subgroups of infinite index are intersections of nearly maximal subgroups. It is proved that an infinite (generalized) soluble group is nearly if and only if it is either cyclic or dihedral.
Giorgio Busetto, Franco Napolitani (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Lempken, Wolfgang, van Trung, Tran (2005)
Experimental Mathematics
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James C. Beidleman, Howard Smith (1993)
Publicacions Matemàtiques
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A θ-pair for a maximal subgroup M of a group G is a pair (A, B) of subgroups such that B is a maximal G-invariant subgroup of A with B but not A contained in M. θ-pairs are considered here in some groups having supersoluble maximal subgroups.