Combinatorial Methods: Free Groups, Polynomials, and Free Algebras (CMS Books in Mathematics) - Tapa blanda

Shpilrain, Vladimir; Mikhalev, Alexander; Yu, Jie-tai

 
9781441923448: Combinatorial Methods: Free Groups, Polynomials, and Free Algebras (CMS Books in Mathematics)
Tapa blanda
ISBN 10: 1441923446 ISBN 13: 9781441923448
Editorial: Springer, 2011

Sinopsis

 

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.

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De la contraportada

 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).

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Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1441923446
ISBN 13 
9781441923448
Encuadernación
Tapa blanda
Número de páginas
328
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387405629: Combinatorial Methods: Free Groups, Polynomials, and Free Algebras (CMS Books in Mathematics)

Edición Destacada

ISBN 10:  0387405623 ISBN 13:  9780387405629
Editorial: Springer, 2003
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