LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Herzog–Schönheim conjecture, vanishing sums of roots of Unity and convex polygons

Photo by vika_strawberrika from unsplash

Abstract Let G be a group and H 1,…,Hs be subgroups of G of indices respectively. In 1974, M. Herzog and J. Schönheim conjectured that if is a coset partition… Click to show full abstract

Abstract Let G be a group and H 1,…,Hs be subgroups of G of indices respectively. In 1974, M. Herzog and J. Schönheim conjectured that if is a coset partition of G, then cannot be pairwise distinct. In this article, we present the conjecture as a problem on vanishing sum of roots of unity and convex polygons and prove some results using this approach.

Keywords: unity convex; conjecture; roots unity; sch nheim; herzog sch; convex polygons

Journal Title: Communications in Algebra
Year Published: 2020

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.