On the ranks of O'N and Ly

نویسنده

  • Faryad Ali
چکیده

LetG be a finite group andX a conjugacy class ofG.We denote rank(G : X) to be theminimumnumber of elements ofX generating G. In the present article, we determine the ranks for two sporadic simple groups, namely the O’Nan sporadic simple group O’N and the Lyons sporadic simple group, Ly. Computations were carried with the aid of the computer algebra systemGAP [The GAP Group, GAP—Groups, Algorithms and Programming, Version 4.3, Aachen, St Andrews, 2003, 〈http://www.gap-system.org〉]. © 2006 Elsevier B.V. All rights reserved. MSC: primary 20D08; 20F05

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 155  شماره 

صفحات  -

تاریخ انتشار 2007