A contribution to the theory of finite supersoluble groups
Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Luis M. Ezquerro (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Mukherjee, N.P., Khazal, R. (1990)
International Journal of Mathematics and Mathematical Sciences
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Wenai Yan, Baojun Li, Zhirang Zhang (2013)
Colloquium Mathematicae
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Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.
Yangming Li (2010)
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...
А.А. Махнев (1984)
Matematiceskij sbornik
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Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)
Open Mathematics
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New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.
G. Miller (1915)
Prace Matematyczno-Fizyczne
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