Geodesic
On the number of product-free sets in groups of even order
Diskretnaya Matematika, Tome 17 (2005) no. 1, pp. 89-101

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We find the asymptotic behaviour of the number of product-free sets in finite groups of even order.This research was supported by the Russian Foundation for Basic Research, grant 04–01–00359. 
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T. G. Petrosyan. On the number of product-free sets in groups of even order. Diskretnaya Matematika, Tome 17 (2005) no. 1, pp. 89-101. http://geodesic.mathdoc.fr/item/DM_2005_17_1_a7/