A note on finite group structure influenced by second and third maximal subgroups.
Mukherjee, N.P., Khazal, R. (1990)
International Journal of Mathematics and Mathematical Sciences
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Mukherjee, N.P., Khazal, R. (1990)
International Journal of Mathematics and Mathematical Sciences
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H. Heineken (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Morris Newman (1974)
Mathematische Annalen
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Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Kazakevich, V.G., Stavrova, A.K. (2004)
Zapiski Nauchnykh Seminarov POMI
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Francesco de Giovanni, Carmela Musella (2001)
Colloquium Mathematicae
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A subgroup H of a group G is nearly normal if it has finite index in its normal closure . A relevant theorem of B. H. Neumann states that groups in which every subgroup is nearly normal are precisely those with finite commutator subgroup. We shall say that a subgroup H of a group G is nearly modular if H has finite index in a modular element of the lattice of subgroups of G. Thus nearly modular subgroups are the natural lattice-theoretic translation of nearly normal subgroups. In this...
James Beidleman, Hermann Heineken (2003)
Bollettino dell'Unione Matematica Italiana
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We describe the finite groups satisfying one of the following conditions: all maximal subgroups permute with all subnormal subgroups, (2) all maximal subgroups and all Sylow -subgroups for permute with all subnormal subgroups.
Ali Reza Ashrafi, Rasoul Soleimani (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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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.