This article is cited in 7 papers

Solution of the Cameron–Erdős problem for groups of prime order

A. A. Sapozhenko

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

Abstract: A subset $A$ of a group $G$ is sum-free if $a+b$ does not belong to $A$ for any $a,b\in A$. Asymptotics of the number of sum-free sets in groups of prime order are proved.

Key words: sum-free set, independent set.

UDC: 519.7

Received: 30.10.2008
Revised: 01.12.2008

 English version: Computational Mathematics and Mathematical Physics, 2009, 49:8, 1435–1441

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