Results 241 to 250 of about 390,832 (276)

Product of nilpotent subgroups

Archiv der Mathematik, 2000
It is well-known that a product of two nilpotent subgroups of a finite group is not nilpotent in general even if one of the factors is normal. However, this product is always soluble by a celebrated theorem of Kegel and Wielandt. In this paper, the authors introduce an interesting subgroup embedding property and prove some nice results with this ...
Iranzo, M. J., Medina, J., Pérez-Monasor, F.   +2 more
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Products of abelian subgroups

Archiv der Mathematik, 1986
Das Hauptergebnis der Arbeit besagt, daß ein Produkt von endlich vielen paarweise vertauschbaren abelschen Minimaxgruppen eine auslösbare Minimaxgruppe ist (Theorem A). Dies verallgemeinert ein Resultat von Heineken und Lennox, nach dem ein Produkt von endlich vielen paarweise vertauschbaren endlich erzeugbaren abelschen Gruppen polyzyklisch ist ...
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Semidirect products OF fuzzy subgroups

Fuzzy Sets and Systems, 1985
A semidirect product of two fuzzy groups is defined and examined if it is a fuzzy subgroup of a suitable product of groups. The converse problem is discussed for cyclic groups.
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Products of $ \pi$-nilpotent subgroups

Sbornik: Mathematics, 1996
Summary: Let \(A\) and \(B\) be \(\pi\)-nilpotent subgroups of a finite group \(G\) and suppose that \((|G:A|,p)=(|G:B|,p)=1\) for all \(p\in\pi\). It is proved that if \(G\) is the product of \(A\) and \(B\) then \(G\) is a \(\pi\)-nilpotent group.
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Subgroups of semidirect products

Ukrainian Mathematical Journal, 1992
See the review in Zbl 0741.20023.
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DERIVED SUBGROUPS OF PRODUCTS OF AN ABELIAN AND A CYCLIC SUBGROUP

Journal of the London Mathematical Society, 2004
Motivated by a theorem of \textit{N. Itô} [Math. Z. 62, 400-401 (1955; Zbl 0064.25203)] asserting that the derived subgroup of a product of two Abelian groups is Abelian, the paper considers products of two Abelian groups in more detail. Here is a sample result: Theorem 5.5. Let \(G=AB\) be finite, where \(A\) is Abelian and \(B\) is cyclic.
Conder, M. D. E., Isaacs, I. M.
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Subgroups of Direct Products of Free Groups

Journal of the London Mathematical Society, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baumslag, Gilbert, Roseblade, James E.
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Finite index subgroups of graph products

Geometriae Dedicata, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Primitive Subgroups of Wreath Products in Product Action

Proceedings of the London Mathematical Society, 1989
Let A be a finite permutation group on a set \(\Omega\) and let W be the wreath product A Wr \(S_ n\) in product action, i.e. in the obvious faithful permutation action on the cartesian power \(\Omega^ n\). This paper is concerned with finite primitive permutation groups G which are subgroups of W and are such that socles of G and W are the same.
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On product of fuzzy subgroups

Fuzzy Sets and Systems, 1999
Products of fuzzy groups were considered, e.g., by \textit{H.~Sherwood} [Fuzzy Sets Syst. 11, 79--89 (1983; Zbl 0529.20021)], \textit{P.~Bhattacharya}, \textit{N.~P.~Mukherjee} [Inf. Sci. 36, 267--282 (1985; Zbl 0599.20003)], \textit{Y.~Alkhamees} [J. Fuzzy Math. 6, No. 2, 307--318 (1998; Zbl 0908.20044)].
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