Ruiwen Dong

activity

20232026

most citedLinear equations with monomial constraints and decision problems in abelian-by-cyclic groups

1 citations · 1 across the 7 of their papers we have counts for

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math.GR2024

Submonoid Membership in n-dimensional lamplighter groups and S-unit equations

Ruiwen Dong

We show that Submonoid Membership is decidable in n-dimensional lamplighter groups $(Z / p Z) ≀ Z^{n}$ for any prime $p$ and integer $n$ . More generally, we…

cs.SC2024★ 1 cited

Linear equations with monomial constraints and decision problems in abelian-by-cyclic groups

Ruiwen Dong

We show that it is undecidable whether a system of linear equations over the Laurent polynomial ring $Z [X^{\pm}]$ admit solutions where a specified subset of variables tak…

math.GR2024

The Identity Problem in virtually solvable matrix groups over algebraic numbers

Corentin Bodart, Ruiwen Dong

The Tits alternative states that a finitely generated matrix group either contains a nonabelian free subgroup $F_{2}$ , or it is virtually solvable. This paper considers two decision…