The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra
Abstract
We investigate the Lie algebra of the Formanek-Procesi group FP(H) with base group H a right-angled Artin group. We show that the Lie algebra gr(FP(H)) has a presentation that is dictated by the group presentation. Moreover we show that FP(H) is a Magnus group.
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