Let Gn be the subgroup of GLn(q) consisting of the upper unitriangular matrices of size nxn over Fq. In 1960, G. Higman conjectured that the number of conjugacy classes of Gn, denoted by r(Gn), was given by a polynomial in q with integer coefficients. This has been verified for nn, r(Gn) can be expressed in terms of r(Gi), with
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
Graham Higman published two important papers in 1960. In the first of these papers he proved tha...
AbstractLet UTn(q) denote the group of unipotent n×n upper triangular matrices over a field with q e...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n over Fq, the finite ...
Abstract. A classical conjecture by Graham Higman states that the number of conjugacy classes of Un(...
A classical conjecture of Graham Higman states that the number of conjugacy classes in U_n(q), the g...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n×n over Fq, the finit...
Abstract. Let q be a power of a prime and n a positive integer. Let P (q) be a parabolic subgroup of...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
Let G(q) be a finite Chevalley group, where q is a power of a good prime p, and let U(q) be a Sylow ...
AbstractThe aim of this paper is to fix theoretical bases and develop algorithms for the symbolic ca...
AbstractLet F be an infinite field and n⩾12. Then the number of conjugacy classes of the upper trian...
AbstractLet Un denote the group of upper n×n unitriangular matrices over a fixed finite field F of o...
Let $U_n$ denote the group of upper $n \times n$ unitriangular matrices over a fixed finite field $\...
We investigate Graham Higman's paper Enumerating p-groups, II, in whichhe formulated his famous PORC...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
Graham Higman published two important papers in 1960. In the first of these papers he proved tha...
AbstractLet UTn(q) denote the group of unipotent n×n upper triangular matrices over a field with q e...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n over Fq, the finite ...
Abstract. A classical conjecture by Graham Higman states that the number of conjugacy classes of Un(...
A classical conjecture of Graham Higman states that the number of conjugacy classes in U_n(q), the g...
AbstractLet Gn=Gn(q) be the group of the upper unitriangular matrices of size n×n over Fq, the finit...
Abstract. Let q be a power of a prime and n a positive integer. Let P (q) be a parabolic subgroup of...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
Let G(q) be a finite Chevalley group, where q is a power of a good prime p, and let U(q) be a Sylow ...
AbstractThe aim of this paper is to fix theoretical bases and develop algorithms for the symbolic ca...
AbstractLet F be an infinite field and n⩾12. Then the number of conjugacy classes of the upper trian...
AbstractLet Un denote the group of upper n×n unitriangular matrices over a fixed finite field F of o...
Let $U_n$ denote the group of upper $n \times n$ unitriangular matrices over a fixed finite field $\...
We investigate Graham Higman's paper Enumerating p-groups, II, in whichhe formulated his famous PORC...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
Graham Higman published two important papers in 1960. In the first of these papers he proved tha...
AbstractLet UTn(q) denote the group of unipotent n×n upper triangular matrices over a field with q e...
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