Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
Similar content being viewed by others
Keywords
Table of contents (15 chapters)
-
Introduction
-
Groups
-
Polynomial Algebras
-
Free Nielsen-Schreier Algebras
Reviews
From the reviews:
"This book is devoted to a combinatorial theory of three types of objects: (1) free groups, (2) polynomial algebras and free associative algebras, (3) free algebras of the so-called Nielsen-Schreier varieties of algebras. It considers problems related mainly to the groups of automorphisms of these objects... The authors have done a lot of work to show that the same problems and the same ideas are the moving forces of the three theories. The book contains a good background on the classical results (most of them without proof) and a detailed exposition of the recent results. A large portion of the exposition is devoted to topics in which the authors have made their own contribution." -- MATHEMATICAL REVIEWS
"The book consists of three parts: groups, polynomial algebras and free Nielsen-Schreier algebras. … The book contains very interesting material to which the authors have made a valuable contribution. The book includes many open and very important problems. … The exposition of the material is made with care. So the book could be recommended for students even as a textbook." (Vyacheslav A. Artamonov, Zentralblatt MATH, Vol. 1039 (8), 2004)
Authors and Affiliations
Bibliographic Information
Book Title: Combinatorial Methods
Book Subtitle: Free Groups, Polynomials, and Free Algebras
Authors: Alexander A. Mikhalev, Vladimir Shpilrain, Jie-Tai Yu
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-0-387-21724-6
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-0-387-40562-9Published: 14 November 2003
Softcover ISBN: 978-1-4419-2344-8Published: 14 December 2011
eBook ISBN: 978-0-387-21724-6Published: 12 November 2012
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XII, 315
Topics: Algebraic Geometry, Non-associative Rings and Algebras