Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (15 chapters)
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Introduction
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Groups
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Polynomial Algebras
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Free Nielsen-Schreier Algebras
Keywords
About this book
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
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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