Let G be a finite 2-generated non-cyclic group. In this paper we establish several new results on the spread, uniform spread and uniform domination number of finite groups and finite simple groups. We also establish new results concerning the 2-generation of soluble and symmetric groups, and we present several open problems. This is a preview of subscription content, access via your institution.
AMS :: Transactions of the American Mathematical Society
Offers end pm EST. Authors: Timothy C. Burness and Scott Harper Journal: Trans. Abstract: Let be a finite simple group. By a theorem of Guralnick and Kantor, contains a conjugacy class such that for each nonidentity element , there exists with.