Geometry Of Semilinear Embeddings: Relations To Graphs And Codes
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4651-07-3 (ISBN)
Semilinear Mappings:Division Rings and Their Homomorphisms; Vector Spaces Over Division Rings; Semilinear Mappings; Semilinear Embeddings; Mappings of Grassmannians Induced by Semilinear Embeddings; Kreuzer's Example; Duality; Characterization of Strong Semilinear Embeddings; Projective Geometry and Linear Codes:Projective Spaces; Fundamental Theorem of Projective Geometry; Proof of Theorem 1.2; m-independent Subsets in Projective Spaces; PGL-subsets; Generalized Macwilliams Theorem; Linear Codes; Remark on Symmetries of Linear Codes; Isometric Embeddings of Grassmann Graphs:Graph Theory; Elementary Properties of Grassmann Graphs; Embeddings; Isometric Embeddings; Proof of Theorem 3.1; Equivalence of Isometric Embeddings; Linearly Rigid Isometric Embeddings; Remarks on Non-isometric Embeddings; Some Results Related to Chow's Theorem; Huang's Theorem; Johnson Graph in Grassmann Graph:Johnson Graph; Isometric Embeddings of Johnson Graphs in Grassmann Graphs; Proof of Theorem 4.2; Classification Problem and Relations to Codes; Characterizations of Apartments in Building Grassmannians; Characterization of Isometric Embeddings:Result, Corollaries and Remarks; Special Subsets; Connectedness of the Apartment Graph; Intersections of J(n, k)-subsets of Different Types; Proof of Theorem 5.1; Semilinear Mappings of Exterior Powers:Exterior Powers; Grassmannians; Grassmann Codes;
Verlagsort | Singapore |
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Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Mathematik / Informatik ► Mathematik ► Graphentheorie | |
ISBN-10 | 981-4651-07-9 / 9814651079 |
ISBN-13 | 978-981-4651-07-3 / 9789814651073 |
Zustand | Neuware |
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