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Groups, periodic planes and hyperbolic buildings

Lookup NU author(s): Dr Alina Vdovina


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Using methods of combinatorial group theory, we give an elementary construction of polyhedra whose links are (not necessarily isomorphic) connected bipartite graphs. In particular, we construct polyhedra whose links are generalized m-gons. Polyhedra of this type are interesting because their universal coverings are two-dimensional hyperbolic buildings with different links. We show that the fundamental groups of some of our polyhedra contain surface groups. The presentation of the results is given in the language of combinatorial group theory. © de Gruyter 2005.

Publication metadata

Author(s): Vdovina A

Publication type: Article

Publication status: Published

Journal: Journal of Group Theory

Year: 2005

Volume: 8

Issue: 6

Pages: 755-765

ISSN (print): 1433-5883

ISSN (electronic): 1435-4446

Publisher: Walter de Gruyter GmbH & Co. KG


DOI: 10.1515/jgth.2005.8.6.755


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