Click Here to Download: https://ouo.io/dIASTQo Geometry Of Semilinear Embeddings: Relations To Graphs And Codes Relations to Graphs and Codes By: Mark Pankov Publisher: WSPC Print ISBN: 9789814651073, 9814651079 eText ISBN: 9789814651097, 9814651095 Pages: 180 Format: EPUB Available from $ 38.00 USD SKU 9789814651097 This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians. In contrast to classical books, we consider a more general class of semilinear mappings and show that this class is important. A large portion of the material will be formulated in terms of graph theory, that is, Grassmann graphs, graph embeddings, and isometric embeddings. In addition, some relations to linear codes will be described. Graduate students and researchers will find this volume to be self-contained with many examples. Contents: 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 Graduate students and researchers interested in the field of semilinear embeddings.
