Dual-Dedekind subgroups in finite groups
Federico Menegazzo (1971)
Rendiconti del Seminario Matematico della Università di Padova
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Federico Menegazzo (1971)
Rendiconti del Seminario Matematico della Università di Padova
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John Cossey, Stewart Stonehewer (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Vladimir O. Lukyanenko, Alexander N. Skiba (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Federico Menegazzo (1978)
Rendiconti del Seminario Matematico della Università di Padova
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Yangming Li (2010)
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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Rolf Brandl, Libero Verardi (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Maria De Falco, Carmela Musella (2002)
Revista Matemática Complutense
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A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal closure in G. A well-known theorem of B.H. Neumann states that every subgroup of a group G is nearly normal if and only if the commutator subgroup G' is finite. In this article, groups in which the intersection and the join of each system of nearly normal subgroups are likewise nearly normal are considered, and some sufficient conditions for such groups to be finite-by-abelian are given. ...
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.