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Zbl pre05246364
Bogopolski, Oleg
(Bogopol'ski\u\i, Oleg)
Introduction to group theory. Translated from the Russian. With a new chapter. (English)
[B] EMS Textbooks in Mathematics. Zürich: European Mathematical Society. x, 177~p. EUR~38.00 (2008). ISBN 978-3-03719-041-8/hbk

Preliminary review / Publisher's description: 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. 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.

MSC 2000:: *20-01 Textbooks (group theory)

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