Buch, Englisch, 177 Seiten, GB, Format (B × H): 165 mm x 235 mm, Gewicht: 466 g
Reihe: EMS Textbooks in Mathematics
Buch, Englisch, 177 Seiten, GB, Format (B × H): 165 mm x 235 mm, Gewicht: 466 g
Reihe: EMS Textbooks in Mathematics
ISBN: 978-3-03719-041-8
Verlag: EMS Press
This book quickly introduces beginners to general group theory and then focuses on three main themes:
* finite group theory, including sporadic groups;
* combinatorial and geometric group theory, including the Bass–Serre theory of groups acting on trees;
* the theory of train tracks by Bestvina and Handel for automorphisms of free groups.
With its many examples, exercises, and full solutions to selected exercises, this text provides a gentle introduction that is ideal for self-study and an excellent preparation for applications. A distinguished feature of the presentation is that algebraic and geometric techniques are balanced. The beautiful
theory of train tracks is illustrated by two nontrivial examples.
Zielgruppe
Presupposing only a basic knowledge of algebra, the book is addressed to anyone interested in group theory: from advanced undergraduate and graduate students to specialists.