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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
Problema Bernsaĭda i tozhdestva v gruppakh.
English
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Format
Book
Language
English
Published/Created
Berlin : Springer-Verlag, [1979]
©1979.
Description
x, 311 pages ; 25 cm.
Availability
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA171 .A313
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Details
Subject(s)
Burnside problem
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Group theory
—
Relations
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Group theory
—
Generators
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Translator
Lennox, John C., 1943-
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Wiegold, James
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Library of Congress genre(s)
Instructional and educational works
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Series
Ergebnisse der Mathematik und ihrer Grenzgebiete ; 95.
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Ergebnisse der Mathematik und ihrer Grenzgebiete ; 95
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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.
Show 4 more Contents items
ISBN
0387087281 ((New York))
9780387087283 ((New York))
3540087281 ((Berlin))
9783540087281 ((Berlin))
LCCN
78016896
OCLC
4004212
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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The Burnside problem and identities in groups / S. I. Adian ; translated from the Russian by John Lennox and James Wiegold.
id
SCSB-9138711