Discrete subgroups of solvable lie groups i

TL;DR: In this paper, it was shown that any n-dimensional compact solvmanifold M has n independent line element fields, and that the Stiefel-Whitney classes of M can be expressed very simply in terms of one dimensional cohomology classes.

TL;DR: In this article, it was shown that a closed almost solvable subgroup of an almost connected locally compact group is compactly generated, and that every discrete almost-solvable sub-group of such a group is finitely generated.

TL;DR: In this paper, the existence and properties of uniform lattices in Lie groups were investigated and it was shown that in dimension 5, there are exactly seven connected and simply connected contact Lie groups with uniform lattice, all of which are solvable.

TL;DR: In this paper, the relation between coin(f, g) and R(f, g) has been studied in the case where the two compact nilmanifolds N1 and N2 do not have the same dimension.

TL;DR: In this article, the Picard-Vessiot theory of homogeneous linear ODEs was extended to algebraic matric groups, and the concept of component of the identity of a matric group was introduced.