The Lower Garland of Subgroup Lattices in Linear Groups

Author: Panin A.A.¹

Source: Journal of Mathematical Sciences, Volume 112, Number 4, December 2002 , pp. 4400-4406(7)

Publisher: Springer

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Abstract:

The lower garland of some lattices of intermediate subgroups in linear groups is described. The results are applied to the case of subgroup lattices in general and special linear groups over a class of rings that contain the group of rational points T of a maximal nonsplit torus in the corresponding algebraic group. It turns out that the lower garlands of these lattices coincide with their intervals consisting of subgroups lying between T and its normalizer. Bibliography: 10 titles.

Language: English

Document Type: Research article

Affiliations: 1: St.Petersburg State University alex@ap2707.spb.edu

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