Results 121 to 130 of about 1,739 (165)

Groups with minimax factor groups

Ukrainian Mathematical Journal, 1990
Let \(\mathfrak X\) be a class of groups. A group \(G\) is called just-non-\(\mathfrak X\) if it is not in the class \({\mathfrak X}\) but all its proper quotients are \(\mathfrak X\)-groups. The structure of just-non-\(\mathfrak X\) has been investigated for several group classes \(\mathfrak X\) (see for instance \textit{J. S. Wilson} [Proc.
Kurdachenko, L. A., Pylaev, V. V.
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On trifactorized soluble minimax groups

Archiv der Mathematik, 1988
O. H. Kegel hat gezeigt, daß eine endliche Gruppe \(G=AB=AC=BC\), die sich als Produkt von zwei nilpotenten Untergruppen A und B und einer nilpotenten (bzw. überauflösbaren) Untergruppe C schreiben läßt, selbst nilpotent (bzw. überauflösbar) ist. Dies wird in der vorliegenden Arbeit für fastauflösbare Minimaxgruppen verallgemeinert.
Amberg, Bernhard, Franciosi, Silvana, de Giovanni, Francesco   +2 more
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Group Update Method for Sparse Minimax Problems

Journal of Optimization Theory and Applications, 2014
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Junxiang Li, Mingsong Cheng, Bo Yu 0003, Shuting Zhang   +3 more
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On Primitive Representations of Minimax Nilpotent Groups

Mathematical Notes, 2002
Let \(F\) be a field and let \(G\) be a group. A simple \(FG\)-module \(A\) is called imprimitive if \(G\) has a proper subgroup \(H\) and \(A\) contains an \(FH\)-submodule \(B\) such that \(A=B\otimes_{FH}FG\). If \(A\) is not imprimitive, then it is called primitive. The main result of this paper is the following Theorem. Let \(G\) be a nilpotent of
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The class of minimax groups is countably recognizable

Monatshefte für Mathematik, 2016
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de Giovanni, Francesco, Trombetti, Marco
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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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