Matches in Library of Congress for { <http://lccn.loc.gov/2009009149> ?p ?o. }
Showing items 1 to 22 of
22
with 100 items per page.
- 2009009149 contributor B11403598.
- 2009009149 created "2009.".
- 2009009149 date "2009".
- 2009009149 date "2009.".
- 2009009149 dateCopyrighted "2009.".
- 2009009149 description "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.".
- 2009009149 description "Includes bibliographical references (p. [216]-221) and index.".
- 2009009149 extent "xii, 228 p. :".
- 2009009149 identifier "0226724999 (pbk. : alk. paper)".
- 2009009149 identifier "9780226724997 (pbk. : alk. paper)".
- 2009009149 issued "2009".
- 2009009149 issued "2009.".
- 2009009149 language "eng".
- 2009009149 publisher "Chicago ; London : The University of Chicago Press,".
- 2009009149 subject "512/.2 22".
- 2009009149 subject "Buildings (Group theory)".
- 2009009149 subject "Finite geometries.".
- 2009009149 subject "Finite groups.".
- 2009009149 subject "QA179 .R64 2009".
- 2009009149 tableOfContents "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.".
- 2009009149 title "Lectures on buildings / Mark Ronan ; Updated and Revised".
- 2009009149 type "text".