Varieties of topological groups generated by solvable and nilpotent groups

Sidney A. Morris

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Displaying similar documents to “Varieties of topological groups generated by solvable and nilpotent groups”

On varieties of topological groups generated by solvable groups

Sidney A. Morris (1972)

Colloquium Mathematicae

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Relative commutator associated with varieties of $n$ -nilpotent and of $n$ -solvable groups

Tomas Everaert, Marino Gran (2006)

Archivum Mathematicum

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In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of $n$ -nilpotent groups and of $n$ -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.