The hypercentral structure of the group of unitria

Authors: A N Kabanov

Publish Date: 2009/04/21

Volume: 50, Issue: 2, Pages: 261-264

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Abstract

We describe the hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra over an arbitrary field Using it we prove that this group admits no faithful representation by matrices over a field provided that the algebra rank is at least four

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