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On the rational subsets of the free group

✍ Scribed by Géraud Sénizergues


Publisher
Springer-Verlag
Year
1996
Tongue
English
Weight
966 KB
Volume
33
Category
Article
ISSN
0001-5903

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Large Product-Free Subsets of Finite Gro
✍ Kiran S. Kedlaya 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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 11Â14 elements, for some fixed c>0. T