Beauville Structures for Quotients of Generalised GGS-groups

Di Domenico E., Gül Erdem Ş., Thillaisundaram A.

Advances in Group Theory and Applications, cilt.18, ss.3-40, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18
  • Basım Tarihi: 2024
  • Doi Numarası: 10.32037/agta-2024-001
  • Dergi Adı: Advances in Group Theory and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.3-40
  • Anahtar Kelimeler: Beauville structure, finite p-group, groups acting on rooted trees
  • TED Üniversitesi Adresli: Evet

Özet

A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk–Gupta–Sidki (GGS-)groups that act on the p-adic tree, for p an odd prime, admit Beauville structures. We extend their result by showing that quotients of infinite periodic GGS-groups acting on pn-adic trees, for p any prime and n ≥ 2, also admit Beauville structures.