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On the Subsets Product in Finite Groups

✍ Scribed by Hamidoune, Yahya Ould


Book ID
122341995
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
708 KB
Volume
12
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


Large Product-Free Subsets of Finite Gro
✍ Kiran S. Kedlaya πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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 11Γ‚14 elements, for some fixed c>0. T