Restricted set addition in groups, III. Integer sumsets with generic restrictions

✍ Scribed by Vsevolod F. Lev

Book ID: 110334949
Publisher: Springer Netherlands
Year: 2001
Tongue: English
Weight: 300 KB
Volume: 42
Category: Article
ISSN: 0031-5303
DOI: 10.1023/a:1015248607819

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📜 SIMILAR VOLUMES

Three-fold Restricted Set Addition in Gr

Three-fold Restricted Set Addition in Groups

✍ Vsevolod F. Lev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 63 KB

Let G be a finite abelian group with a 'sufficiently small' proportion of elements of order two. We prove that for any subset A ⊆ G of cardinality |A| > 5 13 |G| and any group element g ∈ G, there exist pairwise distinct a 1 , a 2 , a 3 ∈ A such that a 1 + a 2 + a 3 = g -unless A is contained in a c