International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 23, Pages 3739-3750
doi:10.1155/IJMMS.2005.3739
Coset enumeration of groups generated by symmetric sets of involutions.
Mohamed Sayed
Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
All non-abelian finite simple groups can be symmetrically generated by involutions. An algorithm which performs coset enumeration for a group defined in this manner on the cosets of a subgroup of automorphisms of these involutions is presented.