Galois Theory for a Class of Complete Modular Lattices
Group Theory
2007-05-23 v3 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 a semilocal 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/9903009,
title = {Galois Theory for a Class of Complete Modular Lattices},
author = {Alexandre A. Panin},
journal= {arXiv preprint arXiv:math/9903009},
year = {2007}
}
Comments
AmsTeX, 4 pages; Translation into English from Zap. Nauchn. Semin. POMI 236 (1997), 129-132, by A. Panin