A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules

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dc.creatorPanin, Alexandre A.
dc.date1999-02-18
dc.date1999-08-12
dc.date.accessioned2026-07-07T05:27:57Z
dc.date.available2026-07-07T05:27:57Z
dc.descriptionA complete description of subgroups in the general linear group over a semilocal ring containing the group of diagonal matrices was obtained by Z.I.Borewicz and N.A.Vavilov. It is shown in the present paper that a similar description holds for the intermediate subgroups of the group of all automorphisms of the lattice of right submodules of a free finite rank R-module over a simple Artinian ring containing the group consisting of those automorphisms which leave invariant an appropriate sublattice.
dc.descriptionAmsTeX, 6 pages, compile twice; revised version of the Bielefeld preprint 99-008
dc.identifierhttps://arxiv.org/abs/math/9902107
dc.identifierhttp://arxiv.org/abs/math/9902107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78121
dc.subjectRings and Algebras
dc.subjectGroup Theory
dc.subject11H56; 20E15; 20G15; 20G35; 03G10; 20E07
dc.titleA Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules
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