Beauville structures in p-central quotients

Creative Commons License

Gül Erdem Ş.

JOURNAL OF GROUP THEORY, vol.20, no.2, pp.257-267, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.1515/jgth-2016-0031
  • Journal Name: JOURNAL OF GROUP THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.257-267
  • TED University Affiliated: No

Abstract

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 infinite family of Beauville 3-groups, which is different from the ones that were known up to date.