Combinatorial method in the coset enumeration of symmetrically generated groups

We give an algorithm for enumerating cosets of a group defined as a finite homomorphic image of a semi-direct product of free products of cyclic groups by a group of monomial automorphisms. Lots of finite groups, including some of the sporadic simple groups can be defined in this mannar. Mathematics Subject Classification: 20Bxx

• Type: Journal
• Year: 2008
• Where: IJCM
• Authors: Mohamed Sayed
• Keywords: Cyclic Groups, Finite Homomorphic Image, IJCM 2008, Sporadic Simple Groups