|
|
|
|
| LEADER |
00000cam a22000008a 4500 |
| 001 |
in00004575663 |
| 003 |
OCoLC |
| 005 |
20220616125513.0 |
| 008 |
090303s2009 ilu b 001 0 eng c |
| 010 |
|
|
|a 2009009149
|
| 020 |
|
|
|a 9780226724997 (pbk. : alk. paper)
|
| 020 |
|
|
|a 0226724999 (pbk. : alk. paper)
|
| 035 |
|
|
|a (CaEvSKY)sky100315747
|
| 035 |
|
|
|a (OCoLC)294885250
|
| 040 |
|
|
|a ICU/DLC
|c DLC
|d UtOrBLW
|
| 042 |
|
|
|a pcc
|
| 049 |
|
|
|a EEMO
|
| 050 |
0 |
0 |
|a QA179
|b .R64 2009
|
| 082 |
0 |
0 |
|a 512/.2
|2 22
|
| 100 |
1 |
|
|a Ronan, Mark.
|0 http://id.loc.gov/authorities/names/n88232046
|
| 245 |
1 |
0 |
|a Lectures on buildings /
|c Mark Ronan ; Updated and Revised.
|
| 260 |
|
|
|a Chicago ;
|a London :
|b The University of Chicago Press,
|c 2009.
|
| 263 |
|
|
|a 0910.
|
| 300 |
|
|
|a xii, 228 pages
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a unmediated
|b n
|2 rdamedia
|
| 338 |
|
|
|a volume
|b nc
|2 rdacarrier
|
| 504 |
|
|
|a Includes bibliographical references and index.
|
| 505 |
0 |
|
|a Chamber systems and examples -- Chamber systems -- Two examples of buildings -- Exercises -- Coxeter complexes -- Coxeter groups and complexes -- Words and galleries -- Reduced words and homotopy -- Finite coxeter complexes -- Self-homotopy -- Exercises -- Buildings -- A definition of buildings -- Generalised m-gons - the rank 2 case -- Residues and apartments -- Exercises -- Local properties and coverings -- Chamber systems of type m -- Coverings and the fundamental group -- The universal cover -- Examples -- Exercises -- Bn - pairs -- Tits systems and buildings -- Parabolic subgroups -- Exercises -- Buildings of spherical type and root groups -- Some basic lemmas -- Root groups and the moufang property -- Commutator relations -- Moufang buildings - the general case -- Exercises -- A construction of buildings -- Blueprints -- Natural labellings of moufang buildings -- Foundations -- Exercises -- The classification of spherical buildings -- 1.a3 blueprints and foundations -- Diagrams with single bonds -- C3 foundations -- Cn buildings for n > 4 -- Tits diagrams and f4 buildings -- Finite buildings -- Exercises -- Affine buildings I -- Affine coxeter complexes and sectors -- The affine building an-1 (k,v) -- The spherical building at infinity -- The proof of (9.5) -- Exercises -- Affine buildings II -- Apartment systems, trees and projective valuations -- Trees associated to walls and panels at infinity -- Root groups with a valuation -- Construction of an affine bn-pair -- The classification -- An application -- Exercises -- Twin buildings -- Twin buildings and kac-moody groups -- Twin trees -- Twin apartments -- An example: affine twin buildings -- Residues, rigidity, and proj -- 2-spherical twin buildings -- The moufang property and root group data -- Twin trees again -- Appendix 1: moufang polygons -- The m-function -- The natural labelling for a moufang plane -- The non-existence theorem -- Appendix 2: diagrams for moufang polygons -- Appendix 3: non-discrete buildings -- Appendix 4: topology and the steinberg representation -- Appendix 5: finite coxeter groups -- Appendix 6: finite buildings and groups of lie type.
|
| 650 |
|
0 |
|a Buildings (Group theory)
|0 http://id.loc.gov/authorities/subjects/sh88005178
|
| 650 |
|
0 |
|a Finite geometries.
|0 http://id.loc.gov/authorities/subjects/sh85048353
|
| 650 |
|
0 |
|a Finite groups.
|0 http://id.loc.gov/authorities/subjects/sh85048354
|
| 907 |
|
|
|y .b71460834
|b 160820
|c 100212
|
| 998 |
|
|
|a mn
|b 100324
|c m
|d a
|e -
|f eng
|g ilu
|h 0
|i 2
|
| 999 |
f |
f |
|i bb077ff0-e134-5dee-9151-33ef95bfbed4
|s 0c0f5f06-52dd-537d-93cc-0329536040a1
|t 0
|
| 952 |
f |
f |
|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Main Library
|d MSU Main Library
|t 0
|e QA179 .R64 2009
|h Library of Congress classification
|i Printed Material
|m 31293007132495
|n 1
|
