Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups

Preface; Acknowledgements; Part I. Motivation: 1. The Mathieu group M12; 2. The Mathieu group M24; Part II. Involutory Symmetric Generators: 3. The progenitor; 4. Classical examples; 5. Sporadic simple groups; Part III. Non-involutory Symmetric Generators: 6. The progenitor; 7. Images of these progenitors.