عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780387217246
(Number (ISBN
9781441923448
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Combinatorial Methods
General Material Designation
[Book]
Other Title Information
Free Groups, Polynomials, and Free Algebras /
First Statement of Responsibility
by Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2004.
SERIES
Series Title
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
ISSN of Series
1613-5237
CONTENTS NOTE
Text of Note
I Groups -- 1 Classical Techniques of Combinatorial Group Theory -- 2 Test Elements -- 3 Other Special Elements -- 4 Automorphic Orbits -- II Polynomial Algebras -- 5 The Jacobian Conjecture -- 6 The Cancellation Conjecture -- 7 Nagata's Problem -- 8 The Embedding Problem -- 9 Coordinate Polynomials -- 10 Test Polynomials -- III Free Nielsen-Schreier Algebras -- 11 Schreier Varieties of Algebras -- 12 Rank Theorems and Primitive Elements -- 13 Generalized Primitive Elements -- 14 Free Leibniz Algebras -- References -- Notation Index -- Author Index.
0
SUMMARY OR ABSTRACT
Text of Note
The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441923448
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra.
Geometry, Algebraic.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mikhalev, Alexander A.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Shpilrain, Vladimir.
Yu, Jie-Tai.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301075700.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
