On free subgroups in Leavitt path algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913754259652608 |
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| author | Hai, Bui Xuan Khanh, Huynh Viet |
| author_facet | Hai, Bui Xuan Khanh, Huynh Viet |
| contents | Let $E$ be a graph and $K$ a field. In this paper we prove that the multiplicative group of a unital noncommutative Leavitt path algebra $L_K(E)$ contains non-cyclic free subgroups provided $K$ is of characteristic $0$. Further, we provide a description of the generators of such free subgroups in term of the graph $E$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18558 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On free subgroups in Leavitt path algebras Hai, Bui Xuan Khanh, Huynh Viet Rings and Algebras 16S88, 20H20 Let $E$ be a graph and $K$ a field. In this paper we prove that the multiplicative group of a unital noncommutative Leavitt path algebra $L_K(E)$ contains non-cyclic free subgroups provided $K$ is of characteristic $0$. Further, we provide a description of the generators of such free subgroups in term of the graph $E$. |
| title | On free subgroups in Leavitt path algebras |
| topic | Rings and Algebras 16S88, 20H20 |
| url | https://arxiv.org/abs/2503.18558 |