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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 sa...

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Bibliographic Details
Main Author: Kostrikin, A. I.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1990.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge. A Series of Modern Surveys in Mathematics ; 20.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xii, 220 pages)
ISBN:9783642743245 (electronic bk.)
3642743242 (electronic bk.)
ISSN:0071-1136 ;