Results 281 to 290 of about 190,558 (333)

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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A Note on Products of Normal Subgroups

Canadian Mathematical Bulletin, 1969
By a group theoretic class we mean a class of groups which contains the trivial group, denoted E, and any group isomorphic to a group in the class. Let I be a group theoretic class. Following P. Hall [4, p. 533], we define EI, CI, SI, QI, and NoI to be the (group theoretic) classes consisting of extensions of I groups by I groups, cartesian products of
T.S. Shores
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On the products of ℙ-subnormal subgroups of finite groups

Siberian Mathematical Journal, 2012
A F Vasil'Ev, V N Tyutyanov, T I Vasil'Eva   +2 more
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Saturated formations and products of connected subgroups

Journal of Algebra, 2011
For a non-empty class of groups C, two subgroups A and B of a group G are said to be C-connected if 〈a,b〉∈C for all a∈A and b∈B. Given two sets π and ρ of primes, SπSρ denotes the class of all finite soluble groups that are extensions of a normal π ...
M D Perez-Ramos
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Fuzzy subgroups as products

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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On the product of two Chernikov subgroups

Israel Journal of Mathematics, 2010
It is a classical result of Ito that the product of two Abelian subgroups is metabelian. The authors consider the product of two subgroups \(A,B\) that satisfy the minimum condition and possess Abelian subgroups \(A_0,B_0\) of index \(2\) in \(A,B\). The second author had shown earlier that this product must be solvable.
Amberg, Bernhard, Kazarin, Lev
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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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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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