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Knot Groups
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Language:
English
Published/Copyright:
2016
About this book
A classic treatment of knot groups from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
Topics
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Frontmatter
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CONTENTS
v -
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CHAPTER I. INTRODUCTION
1 -
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CHAPTER II. NOTATION AND CONVENTIONS
5 -
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CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS
9 -
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CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX
25 -
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CHAPTER V. SUBGROUPS
49 -
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CHAPTER VI. REPRESENTATIONS
61 -
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CHAPTER VII. AUTOMORPHISMS
67 -
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CHAPTER VIII. A GROUP OF GROUPS
75 -
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CHAPTER IX. THE CHARACTERIZATION PROBLEM
87 -
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CHAPTER X. THE STRENGTH OP THE GROUP
93 -
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CHAPTER XI. PROBLEMS
99 -
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APPENDIX BY S. Eileriberg
103 -
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REFERENCES
107 -
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INDEX
113
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 20, 2016
eBook ISBN:
9781400882038
Pages and Images/Illustrations in book
eBook ISBN:
9781400882038
Keywords for this book
Knot group; Theorem; Automorphism; Permutation; Trichotomy (mathematics); Characterization (mathematics); Commutator subgroup; Knot theory; Intersection number (graph theory); Homology (mathematics); Subgroup; Cyclic group; Diagram (category theory); Mathematical induction; Fundamental group; Coset; Alexander polynomial; Homotopy; Algebraic theory; Dehn's lemma; Semigroup; Inner automorphism; Combinatorics; Homotopy group; Polynomial; Identity matrix; Interior (topology); Topology; Trefoil knot; Conjugate element (field theory); Conjugacy class; Topological space; Three-dimensional space (mathematics); Geometry; Coprime integers; Equivalence class; Central series; Group theory; Abelian group; Torus knot; Simply connected space; Principal ideal domain; Existential quantification; Triviality (mathematics); Homomorphism; Frattini subgroup; Cohomology; Principal ideal; Hausdorff space; Simplicial complex; Transfinite number; Computation; Analytic continuation; Monomorphism; Equivalence relation; Euler characteristic; Homeomorphism; Group ring; Finitely generated module; Binary relation; Fiber bundle; Special case; Presentation of a group; Wreath product; Normal subgroup; Euclidean space; Covering space; Morse theory; Non-abelian group; Axiom
Audience(s) for this book
For an expert adult audience, including professional development and academic research
