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Combinatorial group theory and topology

Author: S M Gersten; John R Stallings
Publisher: Princeton, N.J. : Princeton University Press, 1987.
Series: Annals of mathematics studies, no. 111.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group  Read more...

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Genre/Form: Kongress
Kongreß
Conference papers and proceedings
Congresses
Congrès
Additional Physical Format: Online version:
Combinatorial group theory and topology.
Princeton, N.J. : Princeton University Press, 1987
(OCoLC)1085988417
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S M Gersten; John R Stallings
ISBN: 0691084092 9780691084091 0691084106 9780691084107
OCLC Number: 13945055
Notes: Presentations from a conference held at Alta Lodge, Utah, July 15-18, 1984.
Description: viii, 551 pages : illustrations ; 25 cm.
Contents: *Frontmatter, pg. i*CONTENTS, pg. v*PREFACE, pg. vii*PROBLEMS IN COMBINATORIAL GROUP THEORY, pg. 3*POINCARE DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS, pg. 35*HOW TO GENERALIZE ONE-RELATOR GROUP THEORY, pg. 53*GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS, pg. 79*PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS, pg. 107*NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS, pg. 121*GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS, pg. 145*THE TODD-COXETER PROCESS, USING GRAPHS, pg. 157*A SUBGROUP THEOREM FOR PREGROUPS, pg. 163*GROUPS WITH A RATIONAL CROSS-SECTION, pg. 175*ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS, pg. 185*SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE, pg. 197*ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES, pg. 213*ON COMPLEXES DOMINATED BY A TWO-COMPLEX, pg. 221*SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES, pg. 255*LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES, pg. 265*RESIDUAL FINITENESS FOR 3-MANIFOLDS, pg. 379*THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS, pg. 397*WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II, pg. 415*CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP, pg. 433*A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS, pg. 443*DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES, pg. 451*PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I, pg. 479*PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II, pg. 501*SELECTED PROBLEMS, pg. 545*Backmatter, pg. 552
Series Title: Annals of mathematics studies, no. 111.
Responsibility: edited by S.M. Gersten and John R. Stallings.
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<http:\/\/www.worldcat.org\/oclc\/13945055<\/a>> # Combinatorial group theory and topology<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"13945055<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nju<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Place\/princeton_n_j<\/a>> ; # Princeton, N.J.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groupes_theorie_des<\/a>> ; # Groupes, Th\u00E9orie des<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/kombinatorische_gruppentheorie<\/a>> ; # Kombinatorische Gruppentheorie<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/868974<\/a>> ; # Combinatorial group theory<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1152692<\/a>> ; # Topology<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topologie_congres<\/a>> ; # Topologie--Congr\u00E8s<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/combinatieleer<\/a>> ; # Combinatieleer<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groupes_theorie_combinatoire_des_congres<\/a>> ; # Groupes, Th\u00E9orie combinatoire des--Congr\u00E8s<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topology<\/a>> ; # Topology<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh85028806<\/a>> ; # Combinatorial group theory<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/kongress<\/a>> ; # Kongress<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groepentheorie<\/a>> ; # Groepentheorie<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/512.22\/e19\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topologie<\/a>> ; # Topologie<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/93821690<\/a>> ; # John Robert Stallings<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/54217782<\/a>> ; # S. M. Gersten<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1987<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/352471651<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Kongre\u00DF<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Conference publication<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Kongress<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Conference papers and proceedings<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Series\/annals_of_mathematics_studies<\/a>> ; # Annals of mathematics studies ;<\/span>\n\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/1085988417<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Combinatorial group theory and topology<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"13945055<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/13945055#PublicationEvent\/princeton_n_j_princeton_university_press_1987<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Agent\/princeton_university_press<\/a>> ; # Princeton University Press<\/span>\n\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/bvbr.bib-bvb.de:8991\/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000408013&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.gbv.de\/dms\/hbz\/toc\/ht002527456.pdf<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780691084091<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780691084107<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/13945055<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Agent\/princeton_university_press<\/a>> # Princeton University Press<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Princeton University Press<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Place\/princeton_n_j<\/a>> # Princeton, N.J.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Princeton, N.J.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Series\/annals_of_mathematics_studies<\/a>> # Annals of mathematics studies ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/13945055<\/a>> ; # Combinatorial group theory and topology<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Annals of mathematics studies ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/combinatieleer<\/a>> # Combinatieleer<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Combinatieleer<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groepentheorie<\/a>> # Groepentheorie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Groepentheorie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groupes_theorie_combinatoire_des_congres<\/a>> # Groupes, Th\u00E9orie combinatoire des--Congr\u00E8s<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Groupes, Th\u00E9orie combinatoire des--Congr\u00E8s<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/groupes_theorie_des<\/a>> # Groupes, Th\u00E9orie des<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Groupes, Th\u00E9orie des<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/kombinatorische_gruppentheorie<\/a>> # Kombinatorische Gruppentheorie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Kombinatorische Gruppentheorie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/kongress<\/a>> # Kongress<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Kongress<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topologie<\/a>> # Topologie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topologie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topologie<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topologie_congres<\/a>> # Topologie--Congr\u00E8s<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topologie--Congr\u00E8s<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/352471651#Topic\/topology<\/a>> # Topology<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nrdfs:seeAlso<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh2008112912<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topology<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/authorities\/subjects\/sh85028806<\/a>> # Combinatorial group theory<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Combinatorial group theory<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/id.worldcat.org\/fast\/1152692<\/a>> # Topology<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Topology<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/868974<\/a>> # Combinatorial group theory<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Combinatorial group theory<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/54217782<\/a>> # S. M. Gersten<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Gersten<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"S. M.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"S. M. Gersten<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/93821690<\/a>> # John Robert Stallings<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1935<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"2008<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Stallings<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"John Robert<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"John R.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"John Robert Stallings<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/www.worldcat.org\/title\/-\/oclc\/13945055<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/13945055<\/a>> ; # Combinatorial group theory and topology<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2019-02-16<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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Content-negotiable representations<\/p>\n