Combinatorial Group Theory and Topology. (AM-111) ( Annals of Mathematics Studies )

Publication series :Annals of Mathematics Studies

Author: Gersten S. M.;Stallings John R.  

Publisher: Princeton University Press‎

Publication year: 2016

E-ISBN: 9781400882083

P-ISBN(Paperback): 9780691084091

Subject: O152 group theory

Keyword: 拓扑(形势几何学),数学,高等数学,群论

Language: ENG

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Description

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.

Chapter

GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS

PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS

NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS

A GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS

THE TODD-COXETER PROCESS, USING GRAPHS

A SUBGROUP THEOREM FOR PREGROUPS

GROUPS WITH A RATIONAL CROSS-SECTION

ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS

SJOGREN’S THEOREM FOR DIMENSION SUBGROUPS – THE METABELIAN CASE

ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES

ON COMPLEXES DOMINATED BY A TWO-COMPLEX

SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE

LENGTH FUNCTIONS OF GROUP ACTIONS ON Λ-TREES

II Very Low Dimensional Topology

RESIDUAL FINITENESS FOR 3-MANIFOLDS

THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS

WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II

A CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP

A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS

DEHN’S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES

PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I

PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II

SELECTED PROBLEMS

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