Finite groups with few conjugacy classes of subgroups
Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Wolfgang Kimmerle, Robert Sandling (1992)
Publicacions Matemàtiques
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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
John Cossey, Stewart Stonehewer (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Huerta-Aparicio, Luis, Molina-Rueda, Ariel, Raggi-Cárdenas, Alberto, Valero-Elizondo, Luis (2009)
Revista Colombiana de Matemáticas
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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.
Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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L. M. Ezquerro, M. Gómez-Fernández, X. Soler-Escrivà (2005)
Bollettino dell'Unione Matematica Italiana
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In this paper we prove the following results. Let π be a set of prime numbers and G a finite π-soluble group. Consider U, V ≤ G and such that and . Suppose also is a Hall π-sub-group of some S-permutable subgroup of G. Then and . Therefore,the set of all S-permutably embedded subgroups of a soluble group G into which a given Hall system Σ reduces is a sublattice of the lattice of all Σ-permutable subgroups of G. Moreover any two subgroups of this sublattice of coprimeorders...