AbstractGiven a nontrivial conjugacy class Ω of GL(V) which is contained in SL(V), we want to find a minimal integer k such that every element of SL(V) is a product of at most k elements of Ω. The analogous question is studied when Ω is replaced by Ф · Ф−1, where Ф is a nontrivial conjugacy class of GL(V)
AbstractLet A be an n×n complex matrix. Let Sim(A) denote the similarity equivalence class of A, let...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
AbstractGiven an arbitrary commutative field K, n∈N⩾3 and two monic polynomials q and r over K of de...
AbstractLetGbe the groupPSLn(F), wheren≥3,Fis a field, and |F|≥4. Assume, further, that ifn=3, thenF...
In the first part of the paper we determine bounds for the ranks of certain submatrices of square m...
AbstractWe consider the group SLnF of all n × n matrices with determinant 1 over a field. Let res A ...
AbstractLet G be the group PSL(n,F), where F is a field and n ⩾ 3. If C is a conjugacy class of G, d...
AbstractWe compute the covering number and the extended covering number for the group PSL2(F) with a...
AbstractLet Q be a complete discrete valuation ring. Let Π be a prime element in Q. Write P = ΠQ. Fo...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
AbstractUsing results from the similarity problem of 2−2 integer matrices, we derive an algorithm fo...
AbstractFor a special linear group SLn (K) (K a field) we want to find the minimal integer k (extend...
AbstractWe unify the theory of cyclic and diagonal products of elements of matrices. We obtain some ...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractLet A be an n×n complex matrix. Let Sim(A) denote the similarity equivalence class of A, let...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
AbstractGiven an arbitrary commutative field K, n∈N⩾3 and two monic polynomials q and r over K of de...
AbstractLetGbe the groupPSLn(F), wheren≥3,Fis a field, and |F|≥4. Assume, further, that ifn=3, thenF...
In the first part of the paper we determine bounds for the ranks of certain submatrices of square m...
AbstractWe consider the group SLnF of all n × n matrices with determinant 1 over a field. Let res A ...
AbstractLet G be the group PSL(n,F), where F is a field and n ⩾ 3. If C is a conjugacy class of G, d...
AbstractWe compute the covering number and the extended covering number for the group PSL2(F) with a...
AbstractLet Q be a complete discrete valuation ring. Let Π be a prime element in Q. Write P = ΠQ. Fo...
AbstractLet F be a division ring and AϵGLn(F). We determine the smallest integer k such that A admit...
AbstractUsing results from the similarity problem of 2−2 integer matrices, we derive an algorithm fo...
AbstractFor a special linear group SLn (K) (K a field) we want to find the minimal integer k (extend...
AbstractWe unify the theory of cyclic and diagonal products of elements of matrices. We obtain some ...
AbstractThis paper studies the existence, over algebraically closed fields, of a matrix [A1 A2], whe...
AbstractLet A be an n×n complex matrix. Let Sim(A) denote the similarity equivalence class of A, let...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
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