Galois Theory for a Class of Modular Lattices

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

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Group Theory, Rings and Algebras, 11H56; 20E15; 20G15; 20G35; 03G10; 20E07

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http://salesiana.dossiersoluciones.com/handle/123456789/78175

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9903027
 http://arxiv.org/abs/math/9903027
 J. Math. Sci. 95 (1999), no.2, 2126-2135

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arXiv