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math.GR2023
Semigroup algorithmic problems in metabelian groups
Ruiwen Dong
We consider semigroup algorithmic problems in finitely generated metabelian groups. Our paper focuses on three decision problems introduced by Choffrut and Karhumäki (2005): the Id…
math.GR2023
The Identity Problem in is decidable
Ruiwen Dong
We consider semigroup algorithmic problems in the wreath product . Our paper focuses on two decision problems introduced by Choffrut and Karhumäki (2005)…
math.GR2022★ 1 cited
Semigroup intersection problems in the Heisenberg groups
Ruiwen Dong
We consider two algorithmic problems concerning sub-semigroups of Heisenberg groups and, more generally, two-step nilpotent groups. The first problem is Intersection Emptiness, whi…