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.
Malle's conjecture for fair counting functions
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abstract
We show that the naive adaptation of Malle's conjecture to fair counting functions is not true in general.
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Counterexamples for T\"urkelli's Modification on Malle's Conjecture
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.