Trees/ (Record no. 170381)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00378nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540442375 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.52 |
| Item number | SER/T |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Serre, Jean-Pierre |
| 245 #0 - TITLE STATEMENT | |
| Title | Trees/ |
| Statement of responsibility, etc. | Jean-Pierre Serre |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2003. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 142 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 440 ## - SERIES | |
| Title | (Springer monographs in mathematics) |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Ch. I. Trees and Amalgams --<br/>1. Amalgams --<br/>1.1. Direct limits --<br/>1.2. Structure of amalgams --<br/>1.3. Consequences of the structure theorem --<br/>1.4. Constructions using amalgams --<br/>1.5. Examples --<br/>2. Trees --<br/>2.1. Graphs --<br/>2.2. Trees --<br/>2.3. Subtrees of a graph --<br/>3. Trees and free groups --<br/>3.1. Trees of representatives --<br/>3.2. Graph of a free group --<br/>3.3. Free actions on a tree --<br/>3.4. Application: Schreier's theorem --<br/>App. Presentation of a group of homeomorphisms --<br/>4. Trees and amalgams --<br/>4.1. The case of two factors --<br/>4.2. Examples of trees associated with amalgams --<br/>4.3. Applications --<br/>4.4. Limit of a tree of groups --<br/>4.5. Amalgams and fundamental domains (general case) --<br/>5. Structure of a group acting on a tree --<br/>5.1. Fundamental group of a graph of groups --<br/>5.2. Reduced words --<br/>5.3. Universal covering relative to a graph of groups --<br/>5.4. Structure theorem --<br/>5.5. Application: Kurosh's theorem --<br/>6. Amalgams and fixed points --<br/>6.1. The fixed point property for groups acting on trees --<br/>6.2. Consequences of property (FA) --<br/>6.3. Examples --<br/>6.4. Fixed points of an automorphism of a tree --<br/>6.5. Groups with fixed points (auxiliary results) --<br/>6.6. The case of SL[subscript 3](Z) --<br/>Ch. II. SL[subscript 2] --<br/>1. The tree of SL[subscript 2] over a local field --<br/>1.1. The tree --<br/>1.2. The groups GL(V) and SL(V) --<br/>1.3. Action of GL(V) on the tree of V; stabilizers --<br/>1.4. Amalgams --<br/>1.5. Ihara's theorem --<br/>1.6. Nagao's theorem --<br/>1.7. Connection with Tits systems --<br/>2. Arithmetic subgroups of the groups GL[subscript 2] and SL[subscript 2] over a function field of one variable --<br/>2.1. Interpretation of the vertices of [Gamma]\X as classes of vector bundles of rank 2 over C --<br/>2.2. Bundles of rank 1 and decomposable bundles --<br/>2.3. Structure of [Gamma]\X --<br/>2.4. Examples --<br/>2.5. Structure of [Gamma] --<br/>2.6. Auxiliary results --<br/>2.7. Structure of [Gamma]: case of a finite field --<br/>2.8. Homology --<br/>2.9. Euler-Poincare characteristic. |
| 650 ## - SUBJECT | |
| Keyword | Linear algebraic groups |
| 650 ## - SUBJECT | |
| Keyword | Free groups |
| 650 ## - SUBJECT | |
| Keyword | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 27/10/2016 | 511.52 SER/T | P25359 | 29/08/2016 | General Books |