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math.GR2023★ 1 cited
Complexity of Spherical Equations in Finite Groups
Caroline Mattes, Alexander Ushakov, Armin Weiß
In this paper we investigate computational properties of the Diophantine problem for spherical equations in some classes of finite groups. We classify the complexity of different v…
math.GR2023
Quadratic equations in metabelian Baumslag-Solitar groups
Richard Mandel, Alexander Ushakov
For a finitely generated group , the \emph{Diophantine problem} over is the algorithmic problem of deciding whether a given equation (perhaps res…