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The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra - MaRDI portal

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The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra

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Publication:6505057

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arXiv2102.05339MaRDI QIDQ6505057

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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. As a result, we are able to show that FP(H) is residually nilpotent.

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