%0 Journal Article
%T Properties of element orders in covers for L(n,q) and U(n,q)
%A Andrei V. Zavarnitsine
%J Mathematics
%D 2008
%I arXiv
%X We show that if a finite simple group G isomorphic to PSL(n,q) or PSU(n,q), where either $n\ne 4$, or q is prime or even, acts on a vector space over a field of the defining characteristic of G, then the corresponding semidirect product contains an element whose order is distinct from every element order of G. As a consequence, we prove that the group PSL(n,q), where $n\ne 4$ or q prime or even, is recognizable by spectrum from its covers thus giving a partial positive answer to Problem 14.60 from the Kourovka notebook.
%U http://arxiv.org/abs/0802.1094v1