LEADER 03498nam 2200637 450 001 9910480819403321 005 20200810191527.0 010 $a1-4704-5802-0 035 $a(CKB)4100000011243653 035 $a(MiAaPQ)EBC6195959 035 $a(PPN)25065296X 035 $a(EXLCZ)994100000011243653 100 $a20200810d2020 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSubgroup decomposition in Out(Fn) /$fMichael Handel, Lee Mosher 210 1$aProvidence, RI :$cAmerican Mathematical Society,$d[2020] 215 $a1 online resource (290 pages) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 1280 300 $a"March 2020, volume 264, number 1280 (third of 6 numbers)." 311 $a1-4704-4113-6 320 $aIncludes bibliographical references and index. 327 $aIntroduction to subgroup decomposition - Preliminaries : decomposing outer automorphisms -- Geometric EG strata and geometric laminations -- Vertex groups and vertex group systems -- Statements of the main results -- Preliminaries -- An outline of the relative Kolchin theorem -- IAn(Z/3) periodic conjugacy classes -- IAn(Z/3) periodic free factors -- Limit trees -- Carrying asymptotic data : proposition 3.4 -- Finding Nielsen pairs : proposition 3.7 -- The nonattracting subgroup system -- Nonattracted lines -- Ping-pong on geodesic lines -- Proof of theorem C -- A filling lemma. 410 0$aMemoirs of the American Mathematical Society ;$vnumber 1280. 606 $aManifolds and cell complexes {For complex manifolds, see 32Qxx} -- Low-dimensional topology -- Topological methods in group theory$2msc 606 $aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Free nonabelian groups$2msc 606 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory [See also 05C25, 20E08, 57Mxx]$2msc 606 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Automorphism groups of groups [See also 20E36]$2msc 606 $aNon-Abelian groups 606 $aGeometric group theory 606 $aDecomposition (Mathematics) 606 $aAutomorphisms 606 $aAlgebraic topology 608 $aElectronic books. 615 7$aManifolds and cell complexes {For complex manifolds, see 32Qxx} -- Low-dimensional topology -- Topological methods in group theory. 615 7$aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Free nonabelian groups. 615 7$aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory [See also 05C25, 20E08, 57Mxx]. 615 7$aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Automorphism groups of groups [See also 20E36]. 615 0$aNon-Abelian groups. 615 0$aGeometric group theory. 615 0$aDecomposition (Mathematics) 615 0$aAutomorphisms. 615 0$aAlgebraic topology. 676 $a511.3/26 700 $aHandel$b Michael$f1949-$0908029 702 $aMosher$b Lee$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480819403321 996 $aSubgroup decomposition in Out(Fn)$92210227 997 $aUNINA