Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1987
• Descrizione fisica: 1 online resource (565 pages) : illustrations
• Disciplina: 512/.22
• Soggetto topico: Combinatorial group theory; Topology
• Soggetto non controllato: Abelian group; Algebraic equation; Algebraic integer; Automorphism; Basis (linear algebra); Betti number; Cayley graph; Cayley–Hamilton theorem; Characteristic polynomial; Characteristic subgroup; Characterization (mathematics); Classifying space; Combinatorial group theory; Combinatorics; Commutative algebra; Commutative property; Commutator subgroup; Compactification (mathematics); Complement (set theory); Conformal map; Conjugacy class; Connected component (graph theory); Connectivity (graph theory); Coprime integers; Coset; Coxeter group; Cyclic group; Cyclic permutation; Degeneracy (mathematics); Dehn's lemma; Diagram (category theory); Dirac delta function; Disk (mathematics); Epimorphism; Equation; Euclidean group; Finite group; Finitely generated abelian group; Finitely generated group; Free abelian group; Free group; Freiheitssatz; Fuchsian group; Function (mathematics); Fundamental domain; Fundamental group; Fundamental lemma (Langlands program); G-module; General linear group; Generating set of a group; Geodesic; Graph (discrete mathematics); Graph of groups; Graph product; Group theory; Haken manifold; Harmonic analysis; Homological algebra; Homology (mathematics); Homomorphism; Homotopy; Hurwitz's theorem (number theory); Hyperbolic 3-manifold; Identity theorem; Inclusion map; Inequality (mathematics); Inner automorphism; Intersection (set theory); Intersection number (graph theory); Intersection number; Invertible matrix; Jacobian matrix and determinant; Knot theory; Limit point; Mapping class group; Mapping cone (homological algebra); Mathematical induction; Module (mathematics); Parity (mathematics); Poincaré conjecture; Prime number; Pullback (category theory); Quotient group; Representation theory; Residually finite group; Riemann surface; Seifert–van Kampen theorem; Separatrix (mathematics); Set theory; Simplicial complex; Sphere theorem (3-manifolds); Sphere theorem; Subgroup; Sylow theorems; Theorem; Topology; Union (set theory); Uniqueness theorem; Variable (mathematics); Word problem (mathematics)
• Persona (resp. second.): GerstenS. M.; StallingsJohn R.
• Note generali: Presentations from a conference held at Alta Lodge, Utah, July 15-18, 1984.
• Nota di bibliografia: Includes bibliographies.
• Nota di contenuto: Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY / Lyndon, Roger -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / Eckmann, Beno -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY / Howie, James -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / Stallings, John R. -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / Collins, Donald J . -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / Gersten, S. M. -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / Stallings, John R. -- THE TODD-COXETER PROCESS, USING GRAPHS / Stallings, John R. / Wolf, A. Royce -- A SUBGROUP THEOREM FOR PREGROUPS / Rimlinger, Frank -- GROUPS WITH A RATIONAL CROSS-SECTION / Gilman, Robert H. -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / Benson, Max -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / Craggs, Robert / Howie, James -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX / Ratcliffe, John G. -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / Dyer, Micheal -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / Alperin, Roger / Bass, Hyman -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS / Hempel, John -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / Bleiler, Steven A. -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / Nicas, A. J / Stark, C.W. -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / Gilman, Jane -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / Neuwirth, L. / Patterson, N. -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / Birman, Joan S. / Series, Caroline -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / Cohen, Marshall / Lustig, Martin -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / Lustig, Martin -- SELECTED PROBLEMS / Gersten, S. M. -- Backmatter
• Sommario/riassunto: 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 Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah.Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.
• Titolo autorizzato: Combinatorial Group Theory and Topology. (AM-111), Volume 111
• ISBN: 1-4008-8208-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154748903321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 111.