Even-dimensional orthogonal groups as amalgams of unitary groups

Autor:	Sergey Shpectorov, Ralf Gramlich, Corneliu Hoffman, Werner Nickel
Rok vydání:	2005
Předmět:	Combinatorics Pure mathematics Finite field Algebra and Number Theory Diagram (category theory) Characterization (mathematics) Unitary state Mathematics
Zdroj:	Journal of Algebra. 284(1):141-173
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2004.09.025
Popis:	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 , q 2 ) , SU ( 3 , q 2 ) , and SU ( 2 , q 2 ) × SU ( 2 , q 2 ) over any finite field, and a classification of related amalgams. The results are obtained by diagram geometry, geometric covering theory, and analysis of amalgams.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::221fff1263b2ddeb367d695071ce4fcc Zobrazit plný text záznamu Full Text from ScienceDirect