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math.GR2015
Non-commutative lattice problems
Alexei Myasnikov, Andrey Nikolaev, Alexander Ushakov
We consider several subgroup-related algorithmic questions in groups, modeled after the classic computational lattice problems, and study their computational complexity. We find po…
math.GR2015★ 2 cited
Logspace and compressed-word computations in nilpotent groups
Jeremy Macdonald, Alexei Myasnikov, Andrey Nikolaev +1
For finitely generated nilpotent groups, we employ Mal'cev coordinates to solve several classical algorithmic problems efficiently. Computation of normal forms, the membership prob…