Random walks on generating sets for finite groups (Q1378540)

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scientific article; zbMATH DE number 1118071
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Random walks on generating sets for finite groups
scientific article; zbMATH DE number 1118071

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    Random walks on generating sets for finite groups (English)
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    15 February 1998
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    Summary: We analyze a certain random walk on the Cartesian product \(G^n\) of a finite group \(G\) which is often used for generating random elements from \(G\). In particular, we show that the mixing time of the walk is at most \(c_r n^2 \log n\) where the constant \(c_r\) depends only on the order \(r\) of \(G\).
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    random walk
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