A conjugacy theorem for subgroups of containing the group of diagonal matrices
A property of Generalized McLain groups
Algunas observaciones acerca de matrices triangulares sobre anillos
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
Automorphisms of linear semigroups over division rings.
Automorphisms of Verardi groups: small upper triangular matrices over rings.
Clifford k-algebras and k*-groups.
Cofinitary and Contrafinitary Linear Groups.
Dimension theory and nonstable -theory for net groups
Generalized Magnus Embeddings and Some Applications.
Group Rings of Circle and Unit Groups.
Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions
We give a criterion which ensures that a group generated by Cartan involutions in the automorph group of a rational quadratic form of signature is “thin”, namely it is of infinite index in the latter. It is based on a graph defined on the integral Cartan root vectors, as well as Vinberg’s theory of hyperbolic reflection groups. The criterion is shown to be robust for showing that many hyperbolic hypergeometric groups for are thin.
Infinite dimensional general linear groups have finite width.
Linear Groups of Finite Cohomological Dimension.
Locally soluble cofinitary groups with few fixed points.
Modules over group rings of soluble groups with a certain condition of maximality
Let A be an R G-module, where R is an integral domain and G is a soluble group. Suppose that C G(A) = 1 and A/C A(G) is not a noetherian R-module. Let L nnd(G) be the family of all subgroups H of G such that A/C A(H) is not a noetherian R-module. In this paper we study the structure of those G for which L nnd(G) satisfies the maximal condition.
Nets associated with the elementary nets.
Normal structure of the adjoint group in the radical rings .
On groups of similitudes in associative rings
Let be an associative ring with 1 and the multiplicative group of invertible elements of . In the paper, subgroups of which may be regarded as analogues of the similitude group of a non-degenerate sesquilinear reflexive form and of the isometry group of such a form are defined in an abstract way. The main result states that a unipotent abstractly defined similitude must belong to the corresponding abstractly defined isometry group.
On mutual commutants of generalized carpet subgroups.