Galois Theory for a Class of Modular Lattices

Details Galois Theory for a Class of Modular Lattices Galois Theory for a Class of Modular Lattices

1999-03-03

arxiv.org/abs/math/9903027v4

J. Math. Sci. 95 (1999), no.2, 2126-2135

Mathematics

Group Theory

AmsTeX, 14 pages; Translation into English from Zap. Nauchn. Semin. POMI 236 (1997), 133-148, by A. Panin

Scientific paper

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.

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