05344nam 22016575 450 991015474770332120190708092533.01-4008-8203-610.1515/9781400882038(CKB)3710000000627307(MiAaPQ)EBC4738653(DE-B1597)467966(OCoLC)979581014(DE-B1597)9781400882038(EXLCZ)99371000000062730720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierKnot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 /Lee Paul NeuwirthPrinceton, NJ : Princeton University Press, [2016]©19651 online resource (120 pages) illustrationsAnnals of Mathematics Studies ;3040-691-07991-9 Includes bibliographical references and index.Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEXThe description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56, will be forthcoming.Annals of mathematics studies ;Number 56.Knot theoryAbelian group.Alexander duality.Alexander polynomial.Algebraic theory.Algorithm.Analytic continuation.Associative property.Automorphism.Axiom.Bijection.Binary relation.Calculation.Central series.Characterization (mathematics).Cobordism.Coefficient.Cohomology.Combinatorics.Commutator subgroup.Complete theory.Computation.Conjugacy class.Conjugate element (field theory).Connected space.Connectedness.Coprime integers.Coset.Covering space.Curve.Cyclic group.Dehn's lemma.Determinant.Diagonalization.Diagram (category theory).Dimension.Direct product.Equivalence class.Equivalence relation.Euclidean space.Euler characteristic.Existential quantification.Fiber bundle.Finite group.Finitely generated module.Frattini subgroup.Free abelian group.Fundamental group.Geometry.Group ring.Group theory.Group with operators.Hausdorff space.Homeomorphism.Homology (mathematics).Homomorphism.Homotopy group.Homotopy.Identity matrix.Inner automorphism.Interior (topology).Intersection number (graph theory).Knot group.Knot theory.Linear combination.Manifold.Mathematical induction.Monomorphism.Morphism.Morse theory.Natural transformation.Non-abelian group.Normal subgroup.Orientability.Permutation.Polynomial.Presentation of a group.Principal ideal domain.Principal ideal.Root of unity.Semigroup.Simplicial complex.Simply connected space.Special case.Square matrix.Subgroup.Subset.Summation.Theorem.Three-dimensional space (mathematics).Topological space.Topology.Torus knot.Transfinite number.Trefoil knot.Trichotomy (mathematics).Trivial group.Triviality (mathematics).Two-dimensional space.Unit vector.Wreath product.Knot theory.513.8Neuwirth Lee Paul, 535864DE-B1597DE-B1597BOOK9910154747703321Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 562787931UNINA