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
Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Received 4 June 2005; Revised 9 October 2005
Copyright © 2005 Mohamed Sayed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.