2 citations · 4 across the 5 of their papers we have counts for
5 papers
Intermediate Semigroups are Groups
Alexandre A. Panin
We consider the lattice of subsemigroups of the general linear group over an Artinian ring containing the group of diagonal matrices and show that every such semigroup is actually…
On the Lower Garland of Certain Subgroup Lattices in Linear Groups
Alexandre A. Panin
We describe here the lower garland of some lattices of intermediate subgroups in linear groups. The results are applied to the case of subgroup lattices in general and special line…
Galois Theory for a Class of Modular Lattices
Alexandre A. Panin, Anatoly V. Yakovlev
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…
Galois Theory for a Class of Complete Modular Lattices
Alexandre A. Panin
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…
A Note on the Arrangement of Subgroups in the Automorphism Groups of Submodule Lattices of Free Modules
Alexandre A. Panin
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…