Relative commutator associated with varieties of $n$-nilpotent and of $n$-solvable groups
Everaert, Tomas ; Gran, Marino
Archivum Mathematicum, Tome 042 (2006), p. 387-396 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 2006-01-01
Classification:  20E10,  20F12,  20F14
@article{108014,
     author = {Tomas Everaert and Marino Gran},
     title = {Relative commutator associated with varieties of $n$-nilpotent and of $n$-solvable groups},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {387-396},
     zbl = {1152.20030},
     mrnumber = {2283019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108014}
}
Everaert, Tomas; Gran, Marino. Relative commutator associated with varieties of $n$-nilpotent and of $n$-solvable groups. Archivum Mathematicum, Tome 042 (2006) pp. 387-396. http://gdmltest.u-ga.fr/item/108014/

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