Twisted Malle's Conjecture
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916959052890112 |
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| author | Choudhary, Tanav |
| author_facet | Choudhary, Tanav |
| contents | In this paper, we use inductive methods similar to those employed in a 2025 paper by Alberts, Lemke Oliver, Wang and Wood in order to prove many new cases of the Twisted Malle's Conjecture. Previously, this conjecture had only been proven for $T \trianglelefteq G$ where $T$ is abelian, and for $S_3^m \trianglelefteq S_3 \wr B$. We prove many new examples of this conjecture, such as for $A \wr M \trianglelefteq A \wr B$ where $A$ is a finite abelian $p$-group, $B$ is a $p$-group, and $M$ is a proper abelian normal subgroup of $B$, and for $C_p \wr M \trianglelefteq C_p \wr B$, where $|B|$ is odd and $M$ is a proper abelian normal subgroup of $B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twisted Malle's Conjecture Choudhary, Tanav Number Theory Group Theory In this paper, we use inductive methods similar to those employed in a 2025 paper by Alberts, Lemke Oliver, Wang and Wood in order to prove many new cases of the Twisted Malle's Conjecture. Previously, this conjecture had only been proven for $T \trianglelefteq G$ where $T$ is abelian, and for $S_3^m \trianglelefteq S_3 \wr B$. We prove many new examples of this conjecture, such as for $A \wr M \trianglelefteq A \wr B$ where $A$ is a finite abelian $p$-group, $B$ is a $p$-group, and $M$ is a proper abelian normal subgroup of $B$, and for $C_p \wr M \trianglelefteq C_p \wr B$, where $|B|$ is odd and $M$ is a proper abelian normal subgroup of $B$. |
| title | Twisted Malle's Conjecture |
| topic | Number Theory Group Theory |
| url | https://arxiv.org/abs/2509.16770 |