Efficient average-case algorithms for the modular group

Jin‐Yi Cai, Wolfgang Fuchs, Dexter C. Kozen, Zicheng Lui · 2002

The modular group occupies a central position in many branches of mathematical sciences. In this paper we give average polynomial-time algorithms for the unbounded and bounded membership problems for finitely generated subgroups of the modular group. The latter result affirms a conjecture of Y. Gurevich (1990).>

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