Results 141 to 150 of about 2,570 (180)

On Subnormality in Soluble Minimax Groups

1974
Finiteness conditions associated with subnormal subgroups are in general fairly difficult to handle. In this note we refer in particular to two restrictions of this type. The first is the so-called subnormal intersection property, which demands that the intersection of any family of subnormal subgroups should again he a subnormal subgroup.
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Asymptotic Minimax Bounds for Stochastic Deconvolution Over Groups

IEEE Transactions on Information Theory, 2008
This paper examines stochastic deconvolution over noncommutative compact Lie groups. This involves Fourier analysis on compact Lie groups as well as convolution products over such groups. An observation process consisting of a known impulse response function convolved with an unknown signal with additive white noise is assumed.
Ja-Yong Koo, Peter T. Kim
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Soluble groups which are products of minimax groups

Archiv der Mathematik, 1988
Some sufficient conditions are given for a soluble group which is a product of two minimax groups H, K to be a minimax group. It is shown in particular that this is the case if one of the subgroups H, K is an extension of its FC-hypercentre by a polycyclic group.
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On Noetherian Modules over Minimax Abelian Groups

Ukrainian Mathematical Journal, 2002
An Abelian group \(G\) is called minimax if it has a finite normal series each of whose factors is either cyclic or quasi-cyclic. The main result of the paper is the following: Let \(k\) be a field, let \(A\) be a minimax subgroup of the multiplicative group \(k^*\), and let \(K\) be the subring of the field \(k\) generated by the subgroup \(A\).
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The decomposition of minimax modules over hyperfinite groups

Archiv der Mathematik, 1993
Let \(G\) be a locally soluble hyperfinite group. The \({\mathbf Z} G\)-module \(A\) is minimax if it has a finite series of \({\mathbf Z} G\)-submodules \(0 = A_ 0 \subseteq A_ 1 \subseteq \cdots \subseteq A_ n = A\) such that each factor \(F_ i = A_ i / A_{i - 1}\) is either an artinian or a noetherian \({\mathbf Z} G\)-module. It is shown that \(A\)
Duan, Z. Y., Tomkinson, M. J.
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Subclasses of locally Minimax Groups Closed under Normal Joins

Journal of the London Mathematical Society, 1997
A famous theorem of Hirsch and Plotkin states that in any group \(G\) the subgroup generated by locally nilpotent normal subgroups is likewise locally nilpotent, so that in particular \(G\) has a largest locally nilpotent normal subgroup (the Hirsch-Plotkin radical of \(G\)).
LONGOBARDI, Patrizia, MAJ, Mercede, A. H. Rhemtulla   +2 more
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On permutable subgroups of soluble minimax groups

Archiv der Mathematik, 1985
A subgroup H of a group is called permutable if \(HK=KH\) for every subgroup K. Also a subgroup of a group G is said to be core-free, if it contains no nontrivial normal subgroups of G. The following result is established. Theorem. A core-free permutable subgroup of a residually finite soluble minimax group is contained in the hypercentre.
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Sylow permutability in soluble minimax groups

Ricerche di Matematica, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Torsion-free Covers of Solvable Minimax Groups

2015
Oberwolfach Preprints;2015 ...
Kropholler, Peter H., Lorensen, Karl
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On maximal subgroups of minimax groups

1995
It is known, that if \(G\) is a finitely generated soluble group such that \(G/\Phi(G)\) is nilpotent then \(G\) is nilpotent too, where \(\Phi(G)\) is the Frattini subgroup of the group \(G\). J. C. Lennox proved that if \(G\) is a finitely generated soluble group such that \(G/\Phi(G)\) is finite-by- nilpotent then \(G\) is finite-by-nilpotent.
FRANCIOSI, SILVANA BARBARA, DE GIOVANNI, FRANCESCO, F.   +2 more
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