Document Type
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BL
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Record Number
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1013323
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Doc. No
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b767693
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Uniform Title
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Vvedenie v teorii︠u︡ grupp.English
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Main Entry
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Bogopolʹskij, Oleg Vladimirovič
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Title & Author
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Introduction to group theory /\ Oleg Bogopolski.
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Publication Statement
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Zürich, Switzerland :: European Mathematical Society,, ©2008.
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Series Statement
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EMS textbooks in mathematics
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Page. NO
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x, 177 pages :: illustrations ;; 24 cm.
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ISBN
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3037190418
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: 9783037190418
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Notes
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"English edition differs from the Russian original by the addition of a new Chapter 3."
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"Originally published by Institute of Computer Sciuence, Moscow-Izhevsk, 2002, under the title: Vvedenie v teorii︠u︡ grupp."
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Bibliographies/Indexes
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Includes bibliographical references (pages 169-172) and index.
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Contents
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1. Introduction to finite group theory -- 2. Introduction to combinatorial group theory -- 3. Automorphisms of free groups and train tracks
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Abstract
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"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; and 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 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." -- Jacket.
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Subject
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Combinatorial group theory.
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Subject
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Finite groups.
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Subject
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Group theory.
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Subject
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Combinatorial group theory.
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Subject
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Combinatorial group theory.
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Subject
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Finite groups.
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Subject
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Finite groups.
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Subject
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Group theory.
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Subject
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Group theory.
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Subject
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Gruppentheorie
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Dewey Classification
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512/.2
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LC Classification
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QA174.2.B64 2008
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NLM classification
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20-0120D0820E0520E0620E0820F28msc
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MAT 200fstub
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SK 260rvk
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