On (2, 3, t)-Generations for the Rudvalis Group Ru - Applied Mathematics

AM > Vol.4 No.9, September 2013

On (2, 3, t)-Generations for the Rudvalis Group Ru ()

HTML

Download as PDF (Size: 152KB) PP. 1290-1295

DOI: 10.4236/am.2013.49174 4,470 Downloads 6,471 Views Citations

Author(s)

Faryad Ali

Affiliation(s)

Department of Mathematics and Statistics, Faculty of Science, Al Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia.

ABSTRACT

A group G is said to be(2,3,t) -generated if it can be generated by an involution x and an element y so that 0(y)=3 and 0(xy)=t. In the present article, we determine all (2,3,t)-generations for the Rudvalis sporadic simple group Ru, where t is any divisor of .