The Burnside problem and identities in groups / S .I. Adian ; translated from the Russian by John Lennox and James Wiegold.

Author
Adi︠a︡n, S. I. [Browse]
Uniform title
Format
Book
Language
English
Published/​Created
  • Berlin : Springer-Verlag, [1979]
  • ©1979.
Description
x, 311 pages ; 25 cm.

Availability

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    Details

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    Library of Congress genre(s)
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    Summary note
    This book is based on a special course that the author delivered to the Faculty of Mechanics and Mathematics at Moscow University in the academic years 1971/72 and 1972/73. It presents a new and improved version of the method of investigating groups with an identical relation of the form [lowercase italic]x[lowercase italic superscript]n = 1 evolved by P. S. Novikov and the author for solving Burnside's problem on periodic groups, first published in a joint paper. In the interval since the Russian edition was published, the method described has found new applications.
    Notes
    • Translation of Problema Bernsaĭda i tozhdestva v gruppakh.
    • Includes indexes.
    Bibliographic references
    Bibliography: p. [301]-302.
    Contents
    • Basic concepts and notation
    • Periodic and elementary words of rank [lowercase Greek]Alpha
    • Reversals of rank [lowercase Greek]Alpha
    • Reduced words and equivalence in rank [lowercase Greek]Alpha
    • Coupling in [lowercase Greek]Alpha
    • Periodic groups of odd exponent
    • Further applications of the method.
    ISBN
    • 0387087281 ((New York))
    • 9780387087283 ((New York))
    • 3540087281 ((Berlin))
    • 9783540087281 ((Berlin))
    LCCN
    78016896
    OCLC
    4004212
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