Beauville structures in <i>p</i>-central quotients
JOURNAL OF GROUP THEORY, cilt.20, sa.2, ss.257-267, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.1515/jgth-2016-0031
- Dergi Adı: JOURNAL OF GROUP THEORY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.257-267
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We prove a conjecture of Boston that if p >= 5, all p-central quotients of the free group on two generators and of the free product of two cyclic groups of order p are Beauville groups. In the case of the free product, we also determine Beauville structures in p-central quotients when p = 3. As a consequence, we give an infinite family of Beauville 3-groups, which is different from the ones that were known up to date.