On reducible and primitive subsets of F_p, II

Gyarmati, Katalin and Sárközy, András (2015) On reducible and primitive subsets of F_p, II. Quarterly Journal of Mathematics. pp. 1-5.

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Abstract

In Part I of this paper we introduced and studied the notion of reducibility and primitivity of subsets of F_p: a set A is said to be reducible if it can be represented in the form A = B + C with |B|, |C| > 1. Here we introduce and study strong form of primitivity and reducibility: a set A is said to be k-primitive if changing at most k elements of it we always get a primitive set, and it is said to be k - reducible if it has a representation in the form A = B_1 + B_2 + ... + B_k with |B_1|, |B_2|, ..., |B_k| > 1.

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