Original Articles

On the Ranks of Janko Groups J ₁, J ₂, J ₃ and J ₄

Published in: Quaestiones Mathematicae
Volume 31 , issue 1 , 2008 , pages: 37–44

DOI: 10.2989/QM.2008.31.1.4.409

Author(s): Faryad Ali , Jamshid Moori

Keywords: JANKO GROUPS , RANK , SIMPLE GROUPS , SPORADIC GROUPS

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.

« Fischer-Clifford Matrices of the Non-Split Group Extension 2⁶˙U ₄(2)

Quotient Maps: Frame-Valued Spaces »