An infinite family of strongly real Beauville <i>p</i>-groups
MONATSHEFTE FUR MATHEMATIK, vol.185, no.4, pp.663-675, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 185 Issue: 4
- Publication Date: 2018
- Doi Number: 10.1007/s00605-017-1034-1
- Journal Name: MONATSHEFTE FUR MATHEMATIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.663-675
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
We give an infinite family of non-abelian strongly real Beauville p-groups for every prime p by considering the quotients of triangle groups, and indeed we prove that there are non-abelian strongly real Beauville p-groups of order for every or 7 according as or or . This shows that there are strongly real Beauville p-groups exactly for the same orders for which there exist Beauville p-groups.