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Everaert, T.

Relative commutator theory in varieties of \(\Omega\)-groups. (English) Zbl 1117.08007

J. Pure Appl. Algebra 210, No. 1, 1-10 (2007).
Summary: We introduce a new notion of commutator which depends on the choice of a subvariety in any variety of \(\Omega\)-groups. We prove that this notion encompasses Higgins’s commutator, Fröhlich’s central extensions and the Peiffer commutator of precrossed modules.

Cited in 1 Review
Cited in 10 Documents

MSC:

08B99 Varieties
20F12 Commutator calculus
20E22 Extensions, wreath products, and other compositions of groups
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\textit{T. Everaert}, J. Pure Appl. Algebra 210, No. 1, 1--10 (2007; Zbl 1117.08007)
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