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cs.DM2022★ 1 cited
The Identity Problem in nilpotent groups of bounded class
Ruiwen Dong
Let be a unitriangular matrix group of nilpotency class at most ten. We show that the Identity Problem (does a semigroup contain the identity matrix?) and the Group Problem (is…
cs.DM2022
On the Identity Problem for Unitriangular Matrices of Dimension Four
Ruiwen Dong
We show that the Identity Problem is decidable in polynomial time for finitely generated sub-semigroups of the group of unitriangular inte…