AbstractLet Un(V) and Spn(V) denote the unitary group and the symplectic group of the n dimensional vector space V over a finite field of characteristic not 2, respectively. Assume that the hyperbolic rank of Un(V) is at least one. Then Un(V) is generated by 4 elements and Spn(V) by 3 elements. Further, U2m+1(V) is generated by 3 elements and Sp4m(V) by 2 elements
In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^...
AbstractThe projective orthogonal and symplectic groups POn(F) and PSpn(F) have a natural action on ...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n over Fq, the finite ...
AbstractLet S⊂GL(V) be a given set of generators for a group G, where V is a finite-dimensional vect...
AbstractSome sets of generators of unitary groups on a nonsingular Hermitian space with hyperbolic r...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
AbstractLet Fq(n) be the n-dimensional vector space over a finite field Fq, and let Gn be the symple...
AbstractLet Fq2(n+l) be the (n+l)-dimensional vector space over the finite field Fq2, and Un+l,n(Fq2...
Exploiting the interplay between hyperbolic and isotropic geometry, we prove that the grassmannian o...
AbstractExploiting the interplay between hyperbolic and isotropic geometry, we prove that the grassm...
AbstractIn this paper we study the (2,k)-generation of the finite classical groups SL4(q), Sp4(q), S...
AbstractMinimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a f...
AbstractWe show that finite simple symplectic groups of dimension at least 6, finite simple orthogon...
In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and...
We study 'good elements' in finite 2n-dimensional classical groups G: namely t is a 'good element' i...
In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^...
AbstractThe projective orthogonal and symplectic groups POn(F) and PSpn(F) have a natural action on ...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n over Fq, the finite ...
AbstractLet S⊂GL(V) be a given set of generators for a group G, where V is a finite-dimensional vect...
AbstractSome sets of generators of unitary groups on a nonsingular Hermitian space with hyperbolic r...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
AbstractLet Fq(n) be the n-dimensional vector space over a finite field Fq, and let Gn be the symple...
AbstractLet Fq2(n+l) be the (n+l)-dimensional vector space over the finite field Fq2, and Un+l,n(Fq2...
Exploiting the interplay between hyperbolic and isotropic geometry, we prove that the grassmannian o...
AbstractExploiting the interplay between hyperbolic and isotropic geometry, we prove that the grassm...
AbstractIn this paper we study the (2,k)-generation of the finite classical groups SL4(q), Sp4(q), S...
AbstractMinimal sets of generators of the orthogonal groups on nonsingular quadratic spaces over a f...
AbstractWe show that finite simple symplectic groups of dimension at least 6, finite simple orthogon...
In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and...
We study 'good elements' in finite 2n-dimensional classical groups G: namely t is a 'good element' i...
In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^...
AbstractThe projective orthogonal and symplectic groups POn(F) and PSpn(F) have a natural action on ...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n over Fq, the finite ...
DOI
Add to ORKG