scientific article

zbMath0528.57001MaRDI QIDQ3308703

Siegfried Moran

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

knotsfundamental grouplinksbraidsgroup ringsSeifert-Van Kampen theoremfree groupsprime knotsHNN-extensionfree differential calculusbraid grouppresentations of groupsunsplittable linksAlexander matriceselementary idealsamphicheiral knotsAlexander polynomials of knots and linksHermitian symmetry of Alexander matricesmatrix representations of braid groupsplaits

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes (57-01)

Related Items (15)

Alexander invariants of complex hyperplane arrangements ⋮ Lins-Mandel manifolds as branched coverings of \(S^ 3\) ⋮ The number of linking of periodic solutions of nondissipative systems ⋮ Cable knots and infinite necklaces of knots ⋮ Solid holed torus knot oscillators ⋮ Simple braids ⋮ Minimal generating and normally generating sets for the braid and mapping class groups of \(\mathbb D^2\), \(\mathbb S^2\) and \(\mathbb RP^2\). ⋮ Non-trivial links and plats with trivial Gassner matrices ⋮ PURE-BRAIDED HOPF ALGEBRAS AND KNOT INVARIANTS ⋮ Cobordisme d'enlacements de disques ⋮ Representations of the singular braid monoid and group invariants of singular knots ⋮ Braids, their Properties and Generalizations ⋮ A computer program to calculate Alexander polynomial from Braids presentation of the given knot ⋮ The generalized Lefschetz number of homeomorphisms on punctured disks ⋮ Automatic calculation of Alexander polynomials of \((3,k)\)-torus knots

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