Non-uniform lattices on uniform trees / / Lisa Carbone

• Record Nr.: UNINA9910480939103321
• Autore: Carbone Lisa <1965->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2001
• ISBN: 1-4704-0317-X
• Descrizione fisica: 1 online resource (146 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 724
• Disciplina: 510 s; 511.3/3
• Soggetti: Lattice theory; Trees (Graph theory); Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "July 2001, volume 152, number 724 (end of volume)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""; ""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""; ""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""; ""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""