On the Lower Garland of Certain Subgroup Lattices in Linear Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We describe here the lower garland of some lattices of intermediate subgroups in linear groups. The results are applied to the case of subgroup lattices in general and special linear groups over a class of rings, containing the group of rational points T of a maximal non-split torus in the corresponding algebraic group. It turns out that these garlands coincide with the interval of the whole lattice, consisting of subgroups between T and its normalizer.
AmsTeX, 12 pages; minor corrections

Keywords

Rings and Algebras, Algebraic Geometry, Group Theory, 20E15; 20G15; 20G35; 20E07

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78186

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903039
 http://arxiv.org/abs/math/9903039

Collections

arXiv