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Embeddings of finite classical groups over field extensions and their geometry

Lookup NU author(s): Dr Antonio Cossidente, Dr Oli King

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Abstract

We study some embeddings of finite classical groups defined over field extensions, focusing on their geometry. The embedded groups are subgroups of classical groups lying outside the main Aschbacher classes. We concentrate on PG(8, q) where the embedded groups can be seen as automorphism groups of natural geometric objects: Hermitian Veroneseans, Twisted Hermitian Veroneseans and rational curves.

Publication metadata

Author(s): King OH; Cossidente A

Publication type: Article

Publication status: Published

Journal: Advances in Geometry

Year: 2002

Volume: 2

Issue: 1

Pages: 13-27

Date deposited: 13/07/2012

ISSN (print): 1615-715X

ISSN (electronic): 1615-7168

Publisher: Walter de Gruyter GmbH & Co. KG

URL: http://dx.doi.org/10.1515/advg.2001.024

DOI: 10.1515/advg.2001.024

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