- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 6
- On ramification structures for finite nilpotent groups
On ramification structures for finite nilpotent groups
Authors : Şükran Gül
Pages : 1642-1652
View : 13 | Download : 5
Publication Date : 2019-12-08
Article Type : Research
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.Keywords : ramification structures, Beauville structures, finite nilpotent groups, finite $p$-groups