Falbel, Elisha and Francsics, Gabor and Lax, Peter D. and Parker, John R. (2011) 'Generators of a Picard modular group in two complex dimensions.', Proceedings of the American Mathematical Society., 139 . pp. 2439-2447.
Abstract
The goal of the article is to prove that four explicitly given transformations, two Heisenberg translations, a rotation and an involution generate the Picard modular group with Gaussian integers acting on the two dimensional complex hyperbolic space. The result answers positively a question raised by A. Kleinschmidt and D. Persson.
| Item Type: | Article |
|---|---|
| Full text: | PDF - Published Version (371Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://www.ams.org/journals/proc/2011-139-07/S0002-9939-2010-10653-6/home.html |
| Publisher statement: | First published in Proceedings of the American Mathematical Society, volume 139, 2011 published by the American Mathematical Society. © American Mathematical Society. |
| Record Created: | 03 Jun 2011 15:05 |
| Last Modified: | 09 Jun 2011 11:07 |
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