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Groups with minimax factor groups
Ukrainian Mathematical Journal, 1990Let \(\mathfrak X\) 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, 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.
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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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The class of minimax groups is countably recognizable
Monatshefte für Mathematik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Giovanni, Francesco, Trombetti, Marco
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