N. Barker
An infinite family of 2-groups with mixed Beauville structures
Barker, N.; Boston, N.; Peyerimhoff, N.; Vdovina, A.
Authors
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 | Mar 29, 2024 |
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 |
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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.
Published Journal Article (Final published version)
(201 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/3.0/
Copyright Statement
Final published version
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