On ramification structures for finite nilpotent groups
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.6, ss.1642-1652, 2019 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 6
- Basım Tarihi: 2019
- Doi Numarası: 10.15672/hjms.2018.593
- Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1642-1652
- Anahtar Kelimeler: ramification structures, Beauville structures, finite nilpotent groups, finite p-groups
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.