Combinatorial Group Theory and Topology. (AM-111), Volume 111

Combinatorial Group Theory and Topology. (AM-111), Volume 111

Hardcover

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Product Details

ISBN-13: 9780691084091
Publisher: Princeton University Press
Publication date: 05/21/1987
Series: Annals of Mathematics Studies , #118
Pages: 560
Product dimensions: 6.40(w) x 9.54(h) x 1.48(d)

Table of Contents

  • Frontmatter, pg. i
  • CONTENTS, pg. v
  • PREFACE, pg. vii
  • PROBLEMS IN COMBINATORIAL GROUP THEORY, pg. 3
  • POINCARÉ 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



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