On the Graph of Generating Sets of a Simple Group
نویسنده
چکیده
We prove that the product replacement graph on generating k-tuples of a simple group contains a large connected component if k ≥ 3. This is related to the recent conjecture of Diaconis and Graham. As an application, we also prove that the output of the product replacement algorithm (see [CLMNO]) in this case does not have a strong bias.
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تاریخ انتشار 1999