Affiliation:
1. Mathematical Sciences Research Centre Queen's University Belfast Belfast UK
Abstract
AbstractWithout using the classification of finite simple groups (CFSG), we show that the probability that two random elements of generate a primitive group smaller than is at most . As a corollary we get Dixon's asymptotic expansion
for the probability that two random elements of (or ) generate a subgroup containing .
Subject
Applied Mathematics,Computer Graphics and Computer-Aided Design,General Mathematics,Software