Buch, Englisch, 315 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 664 g
Reihe: CMS Books in Mathematics
Free Groups, Polynomials, and Free Algebras
Buch, Englisch, 315 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 664 g
Reihe: CMS Books in Mathematics
ISBN: 978-0-387-40562-9
Verlag: Springer
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.
Fachgebiete
Weitere Infos & Material
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.