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arXiv · math/9903027

Galois Theory for a Class of Modular Lattices

Alexandre A. Panin·Anatoly V. Yakovlev
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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.

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Alexandre A. Panin, Anatoly V. Yakovlev. 1999-08-12. Galois Theory for a Class of Modular Lattices. https://arxiv.org/abs/math/9903027

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