Affiliation:
1. School of Science UNSW Canberra at ADFA Canberra Australian Capital Territory Australia
2. Department of Mathematics Texas State University San Marcos Texas USA
Abstract
AbstractLet denote the maximal number of different primes that may occur in the order of a finite solvable group G, all elements of which have orders divisible by at most n distinct primes. We show that for all . As an application, we improve on a recent bound by Hung and Yang for arbitrary finite groups.