Multiplicative Lie algebra structure on nilpotent group of class $2$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912045717258240 |
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| author | Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar |
| author_facet | Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar |
| contents | This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class $2$. We also present a method for determining a multiplicative Lie algebra structure on a group that serves as an extension of one Lie ring by another Lie ring such as a metacyclic group and a nilpotent group of class $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiplicative Lie algebra structure on nilpotent group of class $2$ Pal, Deepak Kumar, Amit Upadhyay, Sumit Kumar Group Theory This paper explores the properties of multiplicative Lie algebra structures on a nilpotent group of class $2$. We also present a method for determining a multiplicative Lie algebra structure on a group that serves as an extension of one Lie ring by another Lie ring such as a metacyclic group and a nilpotent group of class $2$. |
| title | Multiplicative Lie algebra structure on nilpotent group of class $2$ |
| topic | Group Theory |
| url | https://arxiv.org/abs/2409.16679 |