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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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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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Torsion-free Covers of Solvable Minimax Groups
2015Oberwolfach Preprints;2015 ...
Kropholler, Peter H., Lorensen, Karl
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On maximal subgroups of minimax groups
1995It 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 +2 more
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Modules over integer group rings of locally soluble groups with minimax restriction
Journal of Mathematical Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Minimax Groups which are Embeddable in Constructible Groups
Journal of the London Mathematical Society, 1978openaire +1 more source
Image restoration based on the minimax-concave and the overlapping group sparsity
Signal, Image and Video Processing, 2022Meimei Ji, Ping Zhao
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Information-theoretic determination of minimax rates of convergence
Annals of Statistics, 1999Yuhong Yang, Andrew Barron
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