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math.GR2008
Generalizations of product-free subsets
Kiran S. Kedlaya, Xuancheng Shao
For any group G of order n, a subset A of G is said to be product-free if there is no solution of the equation ab=c with a,b,c in A. Previous results of Gowers showed that the size…
math.GR2007
Product-free subsets of groups, then and now
Kiran S. Kedlaya
A subset of a group is product-free if it does not contain elements a, b, c such that ab = c. We review progress on the problem of determining the size of the largest product-free…