On ramification structures for finite nilpotent groups

Creative Commons License

Gül Erdem Ş.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.48, no.6, pp.1642-1652, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.15672/hjms.2018.593
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1642-1652
  • Keywords: ramification structures, Beauville structures, finite nilpotent groups, finite p-groups
  • TED University Affiliated: No

Abstract

We extend the characterization of abelian groups with ramification structures given by Garion and Penegini in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] to finite nilpotent groups whose Sylow p-subgroups have a 'nice power structure', including regular p-groups, powerful p-groups and (generalized) p-central p-groups. We also correct two errors in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] regarding abelian 2-groups with ramification structures and the relation between the sizes of ramification structures for an abelian group and those for its Sylow 2-subgroup.