Barker, Nathan and Boston, Nigel and Peyerimhoff, Norbert and Vdovina, Alina (2015) 'An infinite family of 2-groups with mixed Beauville structures.', International mathematics research notices., 2015 (11). pp. 3598-3618.
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).
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (Advance online version) (198Kb) |
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (Final published version) (196Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://dx.doi.org/10.1093/imrn/rnu045 |
| Publisher statement: | © 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. |
| Date accepted: | 26 February 2014 |
| Date deposited: | 17 June 2014 |
| Date of first online publication: | 27 March 2014 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
