2016/04/20 by Şükran Gül, Gül, Şükran
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.1604.06031
openalex publication_date 2016/04/20 · openalex created_date 2022/10/02 · openalex updated_date 2026/08/01
We prove a conjecture of Boston that if p≥ 5, all p-central quotients of the free group on two generators and of the free product of two cyclic groups of order p are Beauville groups. In the case of the free product, we also determine Beauville structures in p-central quotients when p=3. As a consequence, we give an explicit infinite family of Beauville 3-groups, which is different from the only one that was known up to date.