paper

Relative commutator theory in varieties of omega-groups

arXiv:math/0605305 · doi:10.1016/j.jpaa.2006.05.011

Abstract

We introduce a new notion of commutator which depends on a choice of subvariety in any variety of omega-groups. We prove that this notion encompasses Higgins's commutator, Froehlich's central extensions and the Peiffer commutator of precrossed modules.

16 pages

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