On the ranks of Janko groups J1, J2, J3 and J4

Abstract

If G is a finite group and X a conjugacy class of elements of G, then we define rank (G : X) to be the minimum number of elements of X generating G. In the present paper we study the rank(J_i : X) for all conjugacy classes of J_i, where i = 1, 2, 3, 4.

Keywords: Janko groups, rank, simple groups, sporadic groups

Quaestiones Mathematicae 31(2008), 37–44