EMS Textbooks in Mathematics 2008; 187 pp; hardcover Volume: 6 ISBN10: 3037190418 ISBN13: 9783037190418 List Price: US$48 Member Price: US$38.40 Order Code: EMSTEXT/6
 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 BassSerre 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 selfstudy 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. 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Undergraduates, graduate students, and research mathematicians interested in group theory. Reviews "The book can be used for a graduate course in group theory, but it can also be read independently. In both cases, the student that manages to work through the book in detail will be rewarded with a working knowledge of advanced, mainstream topics in group theory."  MAA Reviews Table of Contents  Introduction to finite group theory
 Introduction to combinatorial group theory
 Automorphisms of free groups and train tracks
 Appendix. The PerronFrobenius Theorem
 Solutions to selected exercises
 Bibliography
 Index
