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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   +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   +2 more
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Modules over integer group rings of locally soluble groups with minimax restriction

Journal of Mathematical Sciences, 2012
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On Minimax Groups which are Embeddable in Constructible Groups

Journal of the London Mathematical Society, 1978
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Image restoration based on the minimax-concave and the overlapping group sparsity

Signal, Image and Video Processing, 2022
Meimei Ji, Ping Zhao
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Information-theoretic determination of minimax rates of convergence

Annals of Statistics, 1999
Yuhong Yang, Andrew Barron
exaly  

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