Introduction to Group Theory by Oleg Bogopolski (PDF)

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A very short but to the point book, with a truly stunning coverage range: it starts with the basics (where it has a rather unique proof of Silow’s theorems, and goes on to a very nice developed of the Bestvina/Feighn/Handel theory of free group automorphisms. Anyone who works through this book and Baumslag’s

⭐will have quite a good grasp of modern combinatorial group theory.

⭐V good

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