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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2012.13524 |
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| _version_ | 1866912163925327872 |
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| author | Koner, Sourav Chakraborty, Rabindranath |
| author_facet | Koner, Sourav Chakraborty, Rabindranath |
| contents | For any field $\mathbb{F}$ and all torison-free group $\mathbb{G}$, we prove that if $ab = 0$ for some non-zero $a, b \in \mathbb{F}[\mathbb{G}]$ such that $|supp(a)|$ $= 3$ and $a = 1 + α_{1}g_{1} + α_{2}g_{2}$, then $g_{1}, g_{2}$ satisfies certain relations in $\mathbb{G}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_13524 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Zero divisors with small supports in group algebras of torsion-free groups over a field Koner, Sourav Chakraborty, Rabindranath Group Theory For any field $\mathbb{F}$ and all torison-free group $\mathbb{G}$, we prove that if $ab = 0$ for some non-zero $a, b \in \mathbb{F}[\mathbb{G}]$ such that $|supp(a)|$ $= 3$ and $a = 1 + α_{1}g_{1} + α_{2}g_{2}$, then $g_{1}, g_{2}$ satisfies certain relations in $\mathbb{G}$. |
| title | Zero divisors with small supports in group algebras of torsion-free groups over a field |
| topic | Group Theory |
| url | https://arxiv.org/abs/2012.13524 |