Galois Theory for a Class of Modular Lattices
Group Theory
2007-05-23 v4 Rings and Algebras
Abstract
We construct Galois theory for sublattices of certain complete modular lattices and their automorphism groups. A well-known description of the intermediate subgroups of the general linear group over an Artinian ring containing the group of diagonal matrices, due to Z.I.Borewicz and N.A.Vavilov, can be obtained as a consequence of this theory.
Keywords
Cite
@article{arxiv.math/9903027,
title = {Galois Theory for a Class of Modular Lattices},
author = {Alexandre A. Panin and Anatoly V. Yakovlev},
journal= {arXiv preprint arXiv:math/9903027},
year = {2007}
}
Comments
AmsTeX, 14 pages; Translation into English from Zap. Nauchn. Semin. POMI 236 (1997), 133-148, by A. Panin