On ramification structures for finite nilpotent groups
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.48, no.6, pp.1642-1652, 2019 (SCI-Expanded, Scopus, TRDizin)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.