On the Simple Sporadic Group He Generated by the $(2,3,t)$ Generators
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3
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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 \textrm{He}, where $t$ is a divisor of $|\textrm{He}|$. Most of the computations were carried out with the aid of computer algebra system $\mathbb{GAP}$ [23].
Classification :
20D08, 20F05.
@article{BMMS_2012_35_3_a12,
author = {Faryad Ali and Mohammed Ali Faya Ibrahim},
title = {On the {Simple} {Sporadic} {Group} {He} {Generated} by the $(2,3,t)$ {Generators}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a12/}
}
Faryad Ali; Mohammed Ali Faya Ibrahim. On the Simple Sporadic Group He Generated by the $(2,3,t)$ Generators. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a12/