Malle's Conjecture for $G \times A$ , with $G = S_3, S_4, S_5$

preprint2020arXivOpen access

We prove Malle's conjecture for $G \times A$ , with $G=S_3, S_4, S_5$ and $A$ an abelian group. This builds upon work of the fourth author, who proved this result with restrictions on the primes dividing $A$ .

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Malle's Conjecture for $G \times A$ , with $G = S_3, S_4, S_5$

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Malle's Conjecture for G×AG \times AG×A, with G=S3,S4,S5G = S_3, S_4, S_5G=S3​,S4​,S5​

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Malle's Conjecture for $G \times A$ , with $G = S_3, S_4, S_5$