Alex Levine

activity

20232026

most citedEffective equation solving, constraints and growth in virtually abelian groups

2 citations · 2 across the 4 of their papers we have counts for

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math.GR2026

The Diophantine problem in the Baumslag-Gersten group

Robert D. Gray, Alex Levine

We show that, for every positive prime number $p$ , the Baumslag-Gersten group $G_{p} = ⟨ a, t ∣ (t a t^{- 1}) a (t a t^{- 1})^{- 1} = a^{p} ⟩$ has an undecidable Diophantine pro…

math.GR2026

Undecidable Diophantine problems in generalisations of one-relator groups

Robert D. Gray, Alex Levine

Motivated by the open problem of whether all one-relator groups have decidable Diophantine problem, in this paper we prove a collection of undecidability results about the Diophant…