Skip to main content

Research Repository

Advanced Search

An infinite family of 2-groups with mixed Beauville structures

Barker, N.; Boston, N.; Peyerimhoff, N.; Vdovina, A.

An infinite family of 2-groups with mixed Beauville structures Thumbnail


Authors

N. Barker

N. Boston

A. Vdovina



Abstract

We construct an infinite family of triples (Gk, Hk, Tk), where Gk are 2-groups of increasing order, Hk are index 2 subgroups of Gk, and Tk are pairs of generators of Hk. We show that the triples uk = (Gk, Hk, Tk) are mixed Beauville structures if k is not a power of 2. This is the first known infinite family of 2-groups admitting mixed Beauville structures. Moreover, the associated Beauville surface S(u3) is real and, for k> 3 not a power of 2, the Beauville surface S(uk) is not biholomorphic to S(uk).

Citation

Barker, N., Boston, N., Peyerimhoff, N., & Vdovina, A. (2015). An infinite family of 2-groups with mixed Beauville structures. International Mathematics Research Notices, 2015(11), 3598-3618. https://doi.org/10.1093/imrn/rnu045

Journal Article Type Article
Acceptance Date Feb 26, 2014
Online Publication Date Mar 27, 2014
Publication Date Nov 1, 2015
Deposit Date Feb 27, 2014
Publicly Available Date Jun 17, 2014
Journal International Mathematics Research Notices
Print ISSN 1073-7928
Electronic ISSN 1687-0247
Publisher Oxford University Press
Peer Reviewed Peer Reviewed
Volume 2015
Issue 11
Pages 3598-3618
DOI https://doi.org/10.1093/imrn/rnu045

Files


Published Journal Article (Advance online version) (202 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/3.0/

Copyright Statement
Advance online version © The Author(s) 2014. Published by Oxford University Press.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.




You might also like



Downloadable Citations