19 citations · 59 across the 19 of their papers we have counts for
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math.NT2020★ 2 cited
Odoni's conjecture on arboreal Galois representations is false
Philip Dittmann, Borys Kadets
Suppose is a polynomial. The absolute Galois group of acts on the preimage tree of under . The resulting homomorphism $ϕ_f: \mathrm{Gal}_K \to…
math.LO2020★ 2 cited
Characterizing finitely generated fields by a single field axiom
Philip Dittmann, Florian Pop
We resolve the strong Elementary Equivalence versus Isomorphism Problem for finitely generated fields. That is, we show that for every field in this class there is a first-order se…
math.LO2020★ 5 cited
Non-definability of rings of integers in most algebraic fields
Philip Dittmann, Arno Fehm
We show that the set of algebraic extensions of in which or the ring of integers are definable is meager in the set of all algebraic e…