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

Alexandre A. Panin
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Abstract

A 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.

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Alexandre A. Panin. 1999-08-12. A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules. https://arxiv.org/abs/math/9902107

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