# abelianization

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abelianization
абелианизация

English-russian dictionary of physics. 2013.

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• abelianization — noun A homomorphism that transforms a group into an abelian group …   Wiktionary

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• IA automorphism — In mathematics, in the realm of group theory, an IA automorphism of a group is an automorphism that acts as identity on the abelianization. The abelianization of a group is its quotient by its commutator subgroup. An IA automorphism is thus an… …   Wikipedia

• Superperfect group — In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial.The first homology group of a group is the abelianization of the group itself, since the homology of a group G is the… …   Wikipedia