02079nam 22003855a 450 991015193540332120091109150325.03-03719-541-X10.4171/041(CKB)3710000000953821(CH-001817-3)74-091109(PPN)178155357(EXLCZ)99371000000095382120091109j20080229 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierIntroduction to Group Theory[electronic resource] /Oleg BogopolskiZuerich, Switzerland European Mathematical Society Publishing House20081 online resource (187 pages)EMS Textbooks in Mathematics (ETB)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.Groups & group theorybicsscGroup theory and generalizationsmscGroups & group theoryGroup theory and generalizations20-xxmscBogopolski Oleg471660ch0018173BOOK9910151935403321Introduction to group theory229596UNINA