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math.GR2023
Subgroup and Coset Intersection in abelian-by-cyclic groups
Ruiwen Dong
We consider two decision problems in infinite groups. The first problem is Subgroup Intersection: given two finitely generated subgroups $\langle \mathcal{G} \rangle, \langle \math…
cs.DM2023
Recent advances in algorithmic problems for semigroups
Ruiwen Dong
In this article we survey recent progress in the algorithmic theory of matrix semigroups. The main objective in this area of study is to construct algorithms that decide various pr…
math.GR2023
The Identity Problem in the special affine group of
Ruiwen Dong
We consider semigroup algorithmic problems in the Special Affine group , which is the group of affine…