Relative commutator theory in varieties of omega-groups

Details Relative commutator theory in varieties of omega-groups Relative commutator theory in varieties of omega-groups

2006-05-11

arxiv.org/abs/math/0605305v1

Mathematics

Rings and Algebras

16 pages

Scientific paper

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.

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