Title of article
On the Simple Sporadic Group He Generated by the (2,3,t) Generators
Author/Authors
ALI, FARYAD Al-Imam Mohammed Ibn Saud Islamic University - Faculty of Science - Department of Mathematics, Saudi Arabia , IBRAHIM, MOHAMMED ALI FAYA Najran University - Department of Mathematics, Saudi Arabia
From page
745
To page
753
Abstract
A group G is said to be (2,3,t)-generated if it can be generated by two elements x and y such that o (x)=2, o(y)=3 and o(xy)=t. In the present article, we investigate (2,3,t)-generations for the Held s sporadic simple group He, where t is a divisor of |He|. Most of the computations were carried out with the aid of computer algebra system GAP [23].
Keywords
Held group He , sporadic group , (2 , 3 , t) , generations.
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2550071
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