MARC ayrıntıları
| 000 -LEADER |
|---|
| fixed length control field |
03063nam a2200349 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
030606s1980 gw a b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2003269778 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3540442375 |
| Qualifying information |
acid-free paper |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
OSU |
| 041 1# - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| Language code of original and/or intermediate translations of text |
fre |
| Language code of sung or spoken text |
BAUN |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA166.2 |
| Item number |
.S37 1980 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Serre, Jean-Pierre, |
| Dates associated with a name |
1926- |
| 240 10 - UNIFORM TITLE |
|---|
| Uniform title |
Arbres, amalgames, SL₂. |
| Language of a work |
English |
| 245 10 - TITLE STATEMENT |
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| Title |
Trees / |
| Statement of responsibility, etc |
Jean-Pierre Serre ; translated from the French by John Stillwell |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin ; |
| -- |
New York : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
1980. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
ix, 142 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
|---|
| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Springer monographs in mathematics, |
| International Standard Serial Number |
1439-7382 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages [137]-139) and index |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Contents |
| -- |
Introduction |
| -- |
Ch. I. Trees and Amalgams |
| -- |
1. Amalgams |
| -- |
1.1. Direct limits |
| -- |
1.2. Structure of amalgams |
| -- |
1.3. Consequences of the structure theorem |
| -- |
1.4. Constructions using amalgams |
| -- |
1.5. Examples |
| -- |
2. Trees |
| -- |
2.1. Graphs |
| -- |
2.2. Trees |
| -- |
2.3. Subtrees of a graph |
| -- |
3. Trees and free groups |
| -- |
3.1. Trees of representatives |
| -- |
3.2. Graph of a free group |
| -- |
3.3. Free actions on a tree |
| -- |
3.4. Application: Schreier's theorem |
| -- |
App. Presentation of a group of homeomorphisms |
| -- |
4. Trees and amalgams |
| -- |
4.1. The case of two factors |
| -- |
4.2. Examples of trees associated with amalgams |
| -- |
4.3. Applications |
| -- |
4.4. Limit of a tree of groups |
| -- |
4.5. Amalgams and fundamental domains (general case) |
| -- |
5. Structure of a group acting on a tree |
| -- |
5.1. Fundamental group of a graph of groups |
| -- |
5.2. Reduced words |
| -- |
5.3. Universal covering relative to a graph of groups |
| -- |
5.4. Structure theorem |
| -- |
5.5. Application: Kurosh's theorem |
| -- |
6. Amalgams and fixed points |
| -- |
6.1. The fixed point property for groups acting on trees |
| -- |
6.2. Consequences of property (FA) |
| -- |
6.3. Examples |
| -- |
6.4. Fixed points of an automorphism of a tree |
| -- |
6.5. Groups with fixed points (auxiliary results) |
| -- |
6.6. The case of SL[subscript 3](Z) |
| -- |
Ch. II. SL[subscript 2] |
| -- |
1. The tree of SL[subscript 2] over a local field |
| -- |
1.1. The tree |
| -- |
1.2. The groups GL(V) and SL(V) |
| -- |
1.3. Action of GL(V) on the tree of V; stabilizers |
| -- |
1.4. Amalgams |
| -- |
1.5. Ihara's theorem |
| -- |
1.6. Nagao's theorem |
| -- |
1.7. Connection with Tits systems |
| -- |
2. Arithmetic subgroups of the groups GL[subscript 2] and SL[subscript 2] over a function field of one variable |
| -- |
2.1. Interpretation of the vertices of [Gamma]\X as classes of vector bundles of rank 2 over C |
| -- |
2.2. Bundles of rank 1 and decomposable bundles |
| -- |
2.3. Structure of [Gamma]\X |
| -- |
2.4. Examples |
| -- |
2.5. Structure of [Gamma] |
| -- |
2.6. Auxiliary results |
| -- |
2.7. Structure of [Gamma]: case of a finite field |
| -- |
2.8. Homology |
| -- |
2.9. Euler-Poincare characteristic |
| -- |
Bibliography |
| -- |
Index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Trees (Graph theory) |
|
|---|
| Topical term or geographic name as entry element |
Linear algebraic groups |
|
|---|
| Topical term or geographic name as entry element |
Free groups |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
78475 |
| Uniform title |
Springer monographs in mathematics, |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| -- |
1439-7382 |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
19555 |
|
|---|
| Numeration |
Satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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