LEADER 02533nam 2200505 450 001 9910554223303321 005 20231110223618.0 010 $a3-11-067337-1 024 7 $a10.1515/9783110673371 035 $a(CKB)5590000000537074 035 $a(MiAaPQ)EBC6739348 035 $a(Au-PeEL)EBL6739348 035 $a(OCoLC)1266229619 035 $a(DE-B1597)535221 035 $a(DE-B1597)9783110673371 035 $a(EXLCZ)995590000000537074 100 $a20220625d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in infinite group theory $eNielsen methods, covering spaces, and hyperbolic groups /$fGerhard Rosenberger [and three others] 210 1$aBoston, Massachusetts :$cDe Gruyter,$d[2021] 210 4$dİ2021 215 $a1 online resource (392 pages) 225 1 $aDe Gruyter STEM 311 $a3-11-067334-7 327 $aIntro -- Preface -- Contents -- 1 Nielsen Methods -- 2 Covering Spaces -- 3 Hyperbolic Groups -- Bibliography -- Index. 330 $aThis book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems. 410 3$aDe Gruyter STEM 606 $aInfinite groups 610 $aCovering spaces. 610 $aHyperbolic groups. 610 $aNielsen methods. 615 0$aInfinite groups. 676 $a512.2 700 $aRosenberger$b Gerhard$066084 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554223303321 996 $aTopics in infinite group theory$92883050 997 $aUNINA