Around Burnside (Ergebnisse der Mathematik und ihrer Grenzgebiete)

This is a truly encyclopaedic survey of the various aspects of the \"restricted Burnside problem\" and its surprising applications. Among many other things, it contains a detailed positive solution of the restricted Burnside problem for prime exponent, via Engel Lie algebras and so-called sandwiches. A new appendix to this translation contains a proof by E.I. Zel\'manov of the existence of a recursive upper bound for the nilpotency class of a d-generator finite group of prime exponent p. Informative and illustrative comments grace the end of each chapter, and there is an extensive bibliography.