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Generators of a Picard modular group in two complex dimensions.

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://dx.doi.org/10.1090/S0002-9939-2010-10653-6
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:24 May 2013 09:11

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