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On the Janko Group J(4) Generated by (2,3, t) Generators
Conference proceeding   Peer reviewed

On the Janko Group J(4) Generated by (2,3, t) Generators

Faryad Ali and Mohammed A. Al-Kadhi
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), Vol.1648
AIP Conference Proceedings
01/01/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Applied Science & Technology
A group G is called (2,3, t)-generated if it can be generated by two elements x and y in G such that o(x) = 2, o(y) = 3 and their product xy has order t. In the present article we investigate all (2,3, t)-generations for the Janko's largest sporadic simple group J4 where t is any odd divisor of vertical bar J4 vertical bar. This extends earlier results of Ganief and Moori [J. Algebra 212 (1999), 305-322].

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