The Product Replacement

نویسنده

  • Igor Pak
چکیده

The \product replacement algorithm" is a commonly used heuristic to generate random group elements in a nite group G, by running a random walk on generating k-tuples of G. While experiments showed outstanding performance, the theoretical explanation remained mysterious. In this paper we propose a new approach to study of the algorithm, by using Kazhdan's property (T) from representation theory of Lie groups.

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تاریخ انتشار 1999