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Homology of $n$ -fold groupoids.

Everaert, Tomas; Gran, Marino — 2010

Theory and Applications of Categories [electronic only]

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

Tomas Everaert; Marino Gran — 2006

Archivum Mathematicum

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.

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Homology of n -fold groupoids.

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

Homology of $n$ -fold groupoids.

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