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Oleg Bogopolski (TU Dortmund, Germany)
Introduction to Group Theory
ISBN print 978-3-03719-041-8, ISBN online 978-3-03719-541-3DOI 10.4171/041
February 2008, 187 pages, hardcover, 16.5 x 23.5 cm.
38.00 Euro
This book quickly introduces beginners to general group theory and then focuses on three main themes:
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.
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.
Keywords: Simple groups, sporadic groups, Steiner systems, codes, free products with amalgamation, HNN extensions, actions on trees, free groups and their automorphisms, train tracks
Further Information
Review in Zentralblatt MATH 05246364