Main Article Content

On the ranks of Fi22


Faryad Ali

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. Moori investigated rank(Fi22:X), where X is a conjugacy class of involutions in the Fischer group Fi22. In the present article, we completely determine the ranks of the Fischer group Fi22 by computing rank(Fi22:X), where X is any conjugacy class of Fi22.

Keywords: Fischer group Fi22, rank, generator, sporadic group

Quaestiones Mathematicae 37(2014), 591-600

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606