AbstractAny relation between simple isometries is a consequence of relations of lengths ⩽4. This extends earlier results which deal with relations between reflections
AbstractLet V be a free module of rank n over a valuation domain R. Assume V is endowed with a quadr...
In Chapter 2 we develop the concept of total orthogonality. A number of necessary conditions are der...
AbstractThis paper gives some indication of the structure of the orthogonal group of a unimodular qu...
AbstractAny relation between simple isometries is a consequence of relations of lengths ⩽4. This ext...
AbstractWe consider the subgroup G(n) of the compact unitary group U(n) generated by reflections. By...
AbstractThis paper uses the theory of the Jordan canonical form for a matrix and the theory of ortho...
We define a natural partial order on the orthogonal group and completely describe the intervals in t...
AbstractWe will assume throughout thatFis a field of characteristic charF≠2 and thatVis a non-degene...
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the th...
In this paper we describe all isometries on the special orthogonal group. As an application we give ...
AbstractWe describe the structure of the isometry group G of a finite-dimensional bilinear space ove...
We determine the rings of invariants SG where S is the symmetric algebra on the dual of a vector spa...
Abstract. An idea to present a classical Lie group of posi-tive dimension by generators and relation...
AbstractLet V be a finite-dimensional vector space over a field of characteristic different from two...
The subject of this thesis are orthogonal representations of finite groups. By this we mean a pair (...
AbstractLet V be a free module of rank n over a valuation domain R. Assume V is endowed with a quadr...
In Chapter 2 we develop the concept of total orthogonality. A number of necessary conditions are der...
AbstractThis paper gives some indication of the structure of the orthogonal group of a unimodular qu...
AbstractAny relation between simple isometries is a consequence of relations of lengths ⩽4. This ext...
AbstractWe consider the subgroup G(n) of the compact unitary group U(n) generated by reflections. By...
AbstractThis paper uses the theory of the Jordan canonical form for a matrix and the theory of ortho...
We define a natural partial order on the orthogonal group and completely describe the intervals in t...
AbstractWe will assume throughout thatFis a field of characteristic charF≠2 and thatVis a non-degene...
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the th...
In this paper we describe all isometries on the special orthogonal group. As an application we give ...
AbstractWe describe the structure of the isometry group G of a finite-dimensional bilinear space ove...
We determine the rings of invariants SG where S is the symmetric algebra on the dual of a vector spa...
Abstract. An idea to present a classical Lie group of posi-tive dimension by generators and relation...
AbstractLet V be a finite-dimensional vector space over a field of characteristic different from two...
The subject of this thesis are orthogonal representations of finite groups. By this we mean a pair (...
AbstractLet V be a free module of rank n over a valuation domain R. Assume V is endowed with a quadr...
In Chapter 2 we develop the concept of total orthogonality. A number of necessary conditions are der...
AbstractThis paper gives some indication of the structure of the orthogonal group of a unimodular qu...