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The geometry of the Gauss-Picard modular group.

Falbel, Elisha and Francsics, Gabor and Parker, John R. (2011) 'The geometry of the Gauss-Picard modular group.', Mathematische annalen., 349 (2). pp. 459-508.

Abstract

We give a construction of a fundamental domain for PU(2,1,\mathbbZ [i])PU(21Z[i]), that is the group of holomorphic isometries of complex hyperbolic space with coefficients in the Gaussian ring of integers \mathbbZ [i]Z[i]. We obtain from that construction a presentation of that lattice and relate it, in particular, to lattices constructed by Mostow.

Item Type:Article
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1007/s00208-010-0515-5
Record Created:03 Jun 2011 15:20
Last Modified:29 May 2012 16:52

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