ENRU  
Volume 22, No 2, 2015, P. 7385 UDC 519.1
Keywords: arithmetic progression, group, characteristic function, coset. DOI: 10.17377/daio.2015.22.449 Vahe G. Sargsyan ^{1} Received 20 March 2014 References[1] A. A. Sapozhenko, Solution of the Cameron–Erdös problem for groups of prime order, Zh. Vychisl. Mat. Mat. Fiz., 49, No. 8, 1503–1509, 2009. Translated in Comput. Math. Math. Phys., 49, No. 8, 1435–1441, 2009.[2] V. G. Sargsyan, The number of differences in groups of prime order, Diskretn. Mat., 25, No. 1, 152–158, 2013. Translated in Discrete Math. Appl., 23, No. 2, 195–201, 2013. [3] B. Green and I. Z. Ruzsa, Counting sumsets and sumfree sets modulo a prime, Stud. Sci. Math. Hung., 41, No. 3, 285–293, 2004. [4] B. Green and I. Z. Ruzsa, Sumfree sets in Abelian groups, Isr. J. Math., 147, 157–188, 2005. 

© Sobolev Institute of Mathematics, 2015  