Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493555 | Journal of Algebra | 2005 | 33 Pages |
Abstract
This article is part of the program described in [C.D. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Curtis-Phan-Tits theory, in: A.A. Ivanov et al. (Eds.), Groups, Combinatorics and Geometry, Proceedings of the Durham Conference on Groups and Geometries, 2001, World Scientific, Singapore, 2003, pp. 13-29]. We provide presentations of even-dimensional orthogonal groups, a characterization of even-dimensional orthogonal groups by certain amalgams of subgroups isomorphic to SU(2,q2), SU(3,q2), and SU(2,q2)ÃSU(2,q2) over any finite field, and a classification of related amalgams. The results are obtained by diagram geometry, geometric covering theory, and analysis of amalgams.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
R. Gramlich, C. Hoffman, W. Nickel, S. Shpectorov,