E-Book, Englisch, 315 Seiten, eBook
Reihe: CMS Books in Mathematics
Shpilrain / Mikhalev / Yu Combinatorial Methods
2004
ISBN: 978-0-387-21724-6
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Free Groups, Polynomials, and Free Algebras
E-Book, Englisch, 315 Seiten, eBook
Reihe: CMS Books in Mathematics
ISBN: 978-0-387-21724-6
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Preface.- Introduction.- I. Groups: Introduction. Classical Techniques. Test Elements. Other Special Elements. Automorphic Orbits.- II. Polynomial Algebras: Introduction. The Jacobian Conjecture. The Cancellation Conjecture. Nagata's Problem. The Embedding Problem. Coordinate Polynomials. Test Polynomials.- III. Free Nielsen-Schreier Algebras: Introduction. Schreier Varieties of Algebras. Rank Theorems and Primitive Elements. Generalized Primitive Elements. Free Leibniz Algebras.- References.- Notations.- Author Index.- Subject Index.
