On the Herzog–Schönheim conjecture for uniform covers of groups

✍ Scribed by Zhi-Wei Sun

• Book ID: 104140906
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 280 KB
• Volume: 273
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00526-x

✦ Synopsis

Let G be any group and a 1 G 1 , . . . , a k G k (k > 1) be left cosets in G. In 1974 Herzog and Schönheim conjectured that if

cannot be pairwise distinct. In this paper we show that if A covers all the elements of G the same number of times and G 1 , . . . ,