@article {10.3844/jmssp.2012.339.341,
article_type = {journal},
title = {On (2, 3, t)-Generations for the Conway Group Co2},
author = {Al-Kadhi, Mohammed A. and Ali, Faryad},
volume = {8},
year = {2012},
month = {Aug},
pages = {339-341},
doi = {10.3844/jmssp.2012.339.341},
url = {https://thescipub.com/abstract/jmssp.2012.339.341},
abstract = {Problem statement: In this article we investigate all the (2, 3, t)-generations for the Conway’s second largest sporadic simple group Co2, where t is an odd divisor of order of Co2. Approach: An (l, m, n)-generated group G is a quotient group of the triangle group T (l, m, n) = (x, y, z|x1 = ym = zn = xyz = 1). 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. Computations are carried out with the aid of computer algebra system GAP-Groups, Algorithms and Programming. Results and Conclusion: The Conway group Co2 is (2, 3, t)-generated for t an odd divisor of order of Co2 except when t = 5, 7, 9.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}