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!
Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!