Series of \(p\)-groups with Beauville structure

DOI10.1007/s00605-015-0805-9zbMath1364.20009arXiv1405.3872OpenAlexW2276146603MaRDI QIDQ314496

Alina Vdovina, Jakob Stix

Publication date: 16 September 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3872

zbMATH Keywords

Beauville structurepro-finite \(p\)-groups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Coxeter groups as Beauville groups, Metabelian thin Beauville \(p\)-groups, Purely (non-)strongly real Beauville groups, An infinite family of strongly real Beauville \(p\)-groups, Beauville structures in \(p\)-central quotients, Grigorchuk-Gupta-Sidki groups as a source for Beauville surfaces, Ramification structures for quotients of the Grigorchuk groups

Cites Work

• Unnamed Item
• Mixed quasi-étale surfaces, new surfaces of general type with \(p_g=0\) and their fundamental group
• New examples of Beauville surfaces
• Beauville surfaces and groups. Proceedings of the conference, Newcastle, UK, June 7--9, 2012
• Beauville surfaces and finite groups
• The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves
• Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces
• Simple groups admit Beauville structures
• Recent work on Beauville surfaces, structures and groups
• Fibred surfaces, varieties isogenous to a product and related moduli spaces
• A Note on Beauville p-Groups
• An Infinite Family of 2-Groups with Mixed Beauville Structures
• Beauville Surfaces and Groups: A Survey