On normal subgroups of over rings with many units
On subgroups of the general linear group over the skew field of quaternions which contain the symplectic group.
On subnormal subgroups of linear groups.
On symplectic groups over polynomial rings.
Orders of some modular linear groups.
Radix redux: Normal subgroups of symplectic groups.
Real Strict Localizations.
Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.
Sottogruppi -congruenziali di
Structure of unitary groups over finite group rings and its application
In this paper, we determine all the normal forms of Hermitian matrices over finite group rings , where , is a commutative -group with order . Furthermore, using the normal forms of Hermitian matrices, we study the structure of unitary group over through investigating its BN-pair and order. As an application, we construct a Cartesian authentication code and compute its size parameters.
The central heights of stability groups of series in vector spaces
We compute the central heights of the full stability groups of ascending series and of descending series of subspaces in vector spaces over fields and division rings. The aim is to develop at least partial right analogues of results on left Engel elements and related nilpotent radicals in such proved recently by Casolo & Puglisi, by Traustason and by the current author. Perhaps surprisingly, while there is an absolute bound on these central heights for descending series, for ascending series...
The congruence subgroup problem for algebraic groups
The connected components on the projective line over a ring.
The fundamental theorem for the projective line over commutative rings. (Short Communication).
The fundamental theorem for the projective line over commutative rings.
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.
The lower garland of subgroup lattices in linear groups.
The subgroups in the special linear group over a skew field that contain the group of diagonal matrices
The theorem of Borevich for the hyperbolic unitary group over a noncommutative field.
The upper central series of some matrix groups