Product decompositions in finite simple groups. (Q2893263)
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scientific article; zbMATH DE number 6048031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Product decompositions in finite simple groups. |
scientific article; zbMATH DE number 6048031 |
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19 June 2012
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finite simple groups
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bounded generations of groups
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expanders
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products of conjugates
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product decompositions
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finite groups of Lie type
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Product decompositions in finite simple groups. (English)
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In the paper under review the following result (Theorem 3) is proved: There exists an absolute constant \(c\) such that if \(G\) is a finite simple group, and \(A\) is any subset of \(G\) of size at least \(2\), then \(G\) is a product \(N\) conjugates of \(A\) for some \(N\leq c\log|G|\).
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