LEADER 03572nam 2200577 450 001 9910480939103321 005 20170816143254.0 010 $a1-4704-0317-X 035 $a(CKB)3360000000464908 035 $a(EBL)3114380 035 $a(SSID)ssj0000973403 035 $a(PQKBManifestationID)11616159 035 $a(PQKBTitleCode)TC0000973403 035 $a(PQKBWorkID)10961183 035 $a(PQKB)11241104 035 $a(MiAaPQ)EBC3114380 035 $a(PPN)195416104 035 $a(EXLCZ)993360000000464908 100 $a20010320d2001 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNon-uniform lattices on uniform trees /$fLisa Carbone 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2001. 215 $a1 online resource (146 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 724 300 $a"July 2001, volume 152, number 724 (end of volume)." 311 $a0-8218-2721-9 320 $aIncludes bibliographical references. 327 $a""Contents""; ""0. Introduction""; ""1. Graphs of groups, tree actions and edge-indexed graphs""; ""1.1 Graphs of groups""; ""1.2 Group actions on trees and quotient graphs of groups""; ""1.3 Edge-indexed graphs and their groupings""; ""1.4 Existence of finite groupings""; ""2. Aut(X) and its discrete subgroups""; ""2.1 Tree lattices""; ""2.2 The group G[sub(H)] of deck transformations""; ""2.3 Constructing tree lattices""; ""3. Existence of tree lattices""; ""3.1 Locally compact groups and their lattices""; ""3.2 Lattice Existence Theorem"" 327 $a""3.3 Existence of non-uniform lattices on uniform trees""""3.4 Existence of non-uniform coverings""; ""4. Non-uniform coverings of indexed graphs with an arithmetic bridge""; ""4.1 Geometric and arithmetic bridges in indexed graphs""; ""4.2 Changing the ramification factor of an arithmetic bridge""; ""4.3 Gluing unimodular subgraphs along connected intersections""; ""4.4 Open fanning of arithmetic bridges""; ""4.5 Indexed topological coverings""; ""4.6 Step 1 - Schematic diagram""; ""4.7 Step 2 - Construct topological covering""; ""4.8 Step 3 - Change the ramification factor"" 327 $a""4.9 Step 4 - Construct rectangles""""4.10 Step 5 - Glue rectangles iteratively""; ""4.11 Step 6 - Adjoin bridges""; ""4.12 Step 7 - Multiple open fanning""; ""4.13 Edge with a common factor implies non-uniform covering""; ""5. Non-uniform coverings of indexed graphs with a separating edge""; ""6. Non-uniform coverings of indexed graphs with a ramified loop""; ""7. Eliminating multiple edges""; ""7.1 Simplification of a graph with no loops""; ""7.2 Graphs with multiplicities""; ""7.3 Reduced factorization of an indexed graph"" 327 $a""7.4 Canonical simplification of a unimodular indexed graph with no loops""""8. Existence of arithmetic bridges""; ""8.1 Unramified Loops""; ""8.2 Completion""; ""8.3 Suspension""; ""8.4 Restriction""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 724. 606 $aLattice theory 606 $aTrees (Graph theory) 608 $aElectronic books. 615 0$aLattice theory. 615 0$aTrees (Graph theory) 676 $a510 s 676 $a511.3/3 700 $aCarbone$b Lisa$f1965-$0992144 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480939103321 996 $aNon-uniform lattices on uniform trees$92271196 997 $aUNINA