LEADER 02079nam 22003855a 450 001 9910151935403321 005 20091109150325.0 010 $a3-03719-541-X 024 70$a10.4171/041 035 $a(CKB)3710000000953821 035 $a(CH-001817-3)74-091109 035 $a(PPN)178155357 035 $a(EXLCZ)993710000000953821 100 $a20091109j20080229 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Group Theory$b[electronic resource] /$fOleg Bogopolski 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008 215 $a1 online resource (187 pages) 225 0 $aEMS Textbooks in Mathematics (ETB) 330 $aThis 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. 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