Results 161 to 170 of about 1,920 (200)
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On trifactorized soluble minimax groups
Archiv der Mathematik, 1988O. 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 +2 more
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Group Update Method for Sparse Minimax Problems
Journal of Optimization Theory and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junxiang Li +3 more
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On Primitive Representations of Minimax Nilpotent Groups
Mathematical Notes, 2002Let \(F\) 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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Asymptotic Minimax Bounds for Stochastic Deconvolution Over Groups
IEEE Transactions on Information Theory, 2008This 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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On Subnormality in Soluble Minimax Groups
1974Finiteness 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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Soluble groups which are products of minimax groups
Archiv der Mathematik, 1988Some 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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The decomposition of minimax modules over hyperfinite groups
Archiv der Mathematik, 1993Let \(G\) 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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On permutable subgroups of soluble minimax groups
Archiv der Mathematik, 1985A 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subclasses of locally Minimax Groups Closed under Normal Joins
Journal of the London Mathematical Society, 1997A 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 +2 more
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