The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866911801685311488 |
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| author | Metaftsis, V. Papistas, A. I. |
| author_facet | Metaftsis, V. Papistas, A. I. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_05339 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra Metaftsis, V. Papistas, A. I. Rings and Algebras Group Theory 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. |
| title | The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra |
| topic | Rings and Algebras Group Theory |
| url | https://arxiv.org/abs/2102.05339 |