We prove that, for q odd and n ≥ 3, the group G = On(q2) · 2 is max-imal in either the orthogonal group O2n(q) or the special orthogonal group SO2n(q). The group G corresponds to the stabilizer of a spread of lines of PG(2n − 1, q) in which some lines lie on a quadric, some are secant to the quadric and others are external to the quadric
In much of the mathematical literature, there is talk about the (note the definite article) orthogon...
International audienceWe prove that the radial subalgebra in free orthogonal quantum group factors i...
Recently, a number of interesting relations have been discovered be-tween generalised Pauli/Dirac gr...
AbstractWe prove that, for q odd, the group G=Un(q2)·2 is maximal in the symplectic group Sp2n(q) ex...
It is well known to devotees of the simple groups or of the classical groups that the special unitar...
The purpose of this paper is to discuss the maximality as a discrete group of the group GZ of all ra...
AbstractLet G be any of the groups (P)GL(n,q), (P)SL(n,q). Define a (simple) graph Γ=Γ(G) on the set...
Let G be any of the groups(P)GL(n,q),(P)SL(n,q). Define a (simple) graph Γ =Γ (G) on the set of eleme...
In this paper we construct the maximal subgroups of geometric type of the orthogonal groups in dimen...
Abstract. Let G be any of the groups (P)GL(n, q), (P)SL(n, q). Define a (simple) graph Γ = Γ(G) on t...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
Abstract. Let G PSp4ðqÞ, q pk odd. We show that the geometry of root subgroups of G is the tangent...
Abstract. In this paper we show that if q is a power of a prime p, then the projective special linea...
AbstractIf G→O(V) is an orthogonal representation of the group G, then a double cover of G is determ...
International audienceWe prove that the radial subalgebra in free orthogonal quantum group factors i...
In much of the mathematical literature, there is talk about the (note the definite article) orthogon...
International audienceWe prove that the radial subalgebra in free orthogonal quantum group factors i...
Recently, a number of interesting relations have been discovered be-tween generalised Pauli/Dirac gr...
AbstractWe prove that, for q odd, the group G=Un(q2)·2 is maximal in the symplectic group Sp2n(q) ex...
It is well known to devotees of the simple groups or of the classical groups that the special unitar...
The purpose of this paper is to discuss the maximality as a discrete group of the group GZ of all ra...
AbstractLet G be any of the groups (P)GL(n,q), (P)SL(n,q). Define a (simple) graph Γ=Γ(G) on the set...
Let G be any of the groups(P)GL(n,q),(P)SL(n,q). Define a (simple) graph Γ =Γ (G) on the set of eleme...
In this paper we construct the maximal subgroups of geometric type of the orthogonal groups in dimen...
Abstract. Let G be any of the groups (P)GL(n, q), (P)SL(n, q). Define a (simple) graph Γ = Γ(G) on t...
AbstractIn the first part [C. Bennett, R. Gramlich, C. Hoffman, S. Shpectorov, Odd-dimensional ortho...
Abstract. Let G PSp4ðqÞ, q pk odd. We show that the geometry of root subgroups of G is the tangent...
Abstract. In this paper we show that if q is a power of a prime p, then the projective special linea...
AbstractIf G→O(V) is an orthogonal representation of the group G, then a double cover of G is determ...
International audienceWe prove that the radial subalgebra in free orthogonal quantum group factors i...
In much of the mathematical literature, there is talk about the (note the definite article) orthogon...
International audienceWe prove that the radial subalgebra in free orthogonal quantum group factors i...
Recently, a number of interesting relations have been discovered be-tween generalised Pauli/Dirac gr...