AbstractLet GL(n, q) denote the group of invertible n × n matrices over the finite field with q elements and let vn denote the average order of an element in this group. We show that for n large log vn = n log q − log n + o(log n)
AbstractWe characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on ...
AbstractLetting G(n) denote the number of nonisomorphic groups of order n, it is shown that for squa...
Abstract. In this paper we consider the density of maximal order elements in GLn(q). Fixing any of t...
AbstractLet GL(n, q) denote the group of invertible n × n matrices over the finite field with q elem...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
AbstractEach ordering for the elements of a finite group G of order n defines a corresponding class ...
AbstractWe prove a conjecture of Erdös and Turán concerning the average order of the elements in the...
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic...
A matrix is said to be {\it cyclic} if its characteristic polynomial is equal to its minimal polynom...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
AbstractThe main purpose of this paper is to determine the number of symbols in each equivalence cla...
AbstractIn this paper, we obtain a result which allows us to give a lower bound for the rank of the ...
AbstractWe characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on ...
AbstractLetting G(n) denote the number of nonisomorphic groups of order n, it is shown that for squa...
Abstract. In this paper we consider the density of maximal order elements in GLn(q). Fixing any of t...
AbstractLet GL(n, q) denote the group of invertible n × n matrices over the finite field with q elem...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
AbstractEach ordering for the elements of a finite group G of order n defines a corresponding class ...
AbstractWe prove a conjecture of Erdös and Turán concerning the average order of the elements in the...
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic...
A matrix is said to be {\it cyclic} if its characteristic polynomial is equal to its minimal polynom...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
We prove uniform estimates for the expected value of averages of order statistics of matrices interm...
AbstractThe main purpose of this paper is to determine the number of symbols in each equivalence cla...
AbstractIn this paper, we obtain a result which allows us to give a lower bound for the rank of the ...
AbstractWe characterize the pairs (K,n),Ka field,na positive integer, for which there is a bound on ...
AbstractLetting G(n) denote the number of nonisomorphic groups of order n, it is shown that for squa...
Abstract. In this paper we consider the density of maximal order elements in GLn(q). Fixing any of t...
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