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In this paper we extend the algorithm for extraspecial groups in \cite{iss07}, and show that the hidden subgroup problem in nil-2 groups, that is in groups of nilpotency class at most 2, can be solved efficiently by a quantum procedure.
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G. Ivanyos, L. Sanselme, and M. Santha. An efficient quantum algorithm for the hidden subgroup problem in extraspecial groups. Proc. 24th STACS
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