Generation of Finite Groups

This book collects results obtained over two decades on the generation of finite groups, a central topic in group theory. Since these results strongly depend on the classification of simple groups, a preliminary chapter with all the necessary information about simple groups to address the various generation problems is included. Presenting both classical results and recent advancements in the field, the book bridges the gap between introductory texts and specialized research papers. With each chapter featuring carefully selected exercises, this comprehensive and cohesive resource aims at being an accessible volume that could, for example, also appeal to a student who has taken an introductory course in group theory.