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

Frank Thorne; Jiuya Wang; Riad Masri; Wei-Lun Tsai

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

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arxiv 2004.04651 v3 pith:GJZVCT2L submitted 2020-04-09 math.NT

Riad Masri , Frank Thorne , Wei-Lun Tsai , Jiuya Wang This is my paper · ORCID

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keywords conjecturemalletimesabelianauthorbuildsdividingfourth

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abstract

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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Counterexamples for T\"urkelli's Modification on Malle's Conjecture
math.NT 2025-02 conditional novelty 7.0 of 10

Türkelli's modification to Malle's conjecture fails for infinite families of wreath-product groups, and a refined Malle conjecture with a corrected b-constant is proposed.

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