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arxiv: 1407.1691 · v1 · pith:VTRUZX7Xnew · submitted 2014-07-07 · 🧮 math.GR

Algorithmic theory of free solvable groups: randomized computations

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keywords problemalgorithmsfreegroupsrandomizedsolvablesolvedtime
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We design new deterministic and randomized algorithms for computational problems in free solvable groups. In particular, we prove that the word problem and the power problem can be solved in quasi-linear time and the conjugacy problem can be solved in quasi-quartic time by Monte Carlo type algorithms.

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