Large Product-Free Subsets of Finite Gro
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Kiran S. Kedlaya
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Article
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1997
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Elsevier Science
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English
β 476 KB
A subset of a group is said to be product-free if the product of two of its elements is never itself an element of the subset. Using the classification of finite simple groups, we prove that every finite group of order n has a product-free subset of more than cn 11Γ14 elements, for some fixed c>0. T