On the Simple Sporadic Group He Generated by the $(2,3,t)$ Generators
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

Voir la notice de l'article

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/}
}
TY  - JOUR
AU  - Faryad Ali
AU  - Mohammed Ali Faya Ibrahim
TI  - On the Simple Sporadic Group He Generated by the $(2,3,t)$ Generators
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2012
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a12/
ID  - BMMS_2012_35_3_a12
ER  - 
%0 Journal Article
%A Faryad Ali
%A Mohammed Ali Faya Ibrahim
%T On the Simple Sporadic Group He Generated by the $(2,3,t)$ Generators
%J Bulletin of the Malaysian Mathematical Society
%D 2012
%V 35
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a12/
%F 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/