Investigations in Algebraic Theory of Combinatorial Objects by I.A. FaradzevInvestigations in Algebraic Theory of Combinatorial Objects by I.A. Faradzev

Investigations in Algebraic Theory of Combinatorial Objects

EditorI.A. Faradzev, A.A. Ivanov, M. Klin

Paperback | December 8, 2010

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This volume presents an authoritative collection of major survey papers on algebraic combinatorics which originally appeared in Russian, augmented by four survey papers written specially for this book. The algebraic theory of combinatorial objects is the branch of mathematics that studies the relation between local properties of a combinatorial object and the global properties of its automorphism group. The content is divided into three parts: the first deals with cellular rings; the second deals with distance-regular and distance-transitive graphs; and part 3 contains papers on the relatively new branch of amalgams and geometry. For complex systems theorists; mathematicians interested in group theory and combinatorics.
Title:Investigations in Algebraic Theory of Combinatorial ObjectsFormat:PaperbackDimensions:521 pages, 10.98 × 8.27 × 0 inPublished:December 8, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048141958

ISBN - 13:9789048141951

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Table of Contents

Series Editor's Preface. Preface to the English Edition. Preface to the Russian Edition. Part 1: Cellular Rings. 1.1. Cellular Rings and Groups of Automorphisms of Graphs; I.A. Faradzev, M.H. Klin, M.H. Muzichuk. 1.2 On p-Local Analysis of Permutation Groups; V.A. Ustimenko. 1.3. Amorphic Cellular Rings; Ja. Ju. Gol'fand, A.V. Ivanov, M.H. Klin. 1.4 The Subschemes of the Hamming Scheme; M.E. Muzichuk. 1.5. A Description of Subrings in V(Sp1 x Sp2 x ... x Spm); Ja. Ju. Gol'fand. 1.6. Cellular Subrings of the Symmetric Square of a Cellular Ring of Rank 3; I.A. Faradzev. 1.7. The Intersection Numbers of the Hecke Algebras H(PGLn(q),BWjB); V.A. Ustimenko. 1.8. Ranks and Subdegrees of the Symmetric Groups Acting on Partitions; I.A. Faradzev, A.V. Ivanov. 1.9. Computation of Lengths of Orbits of a Subgroup in a Transitive Permutation Group; A.A. Ivanov. Part 2: Distance-Transitive Graphs. 2.1. Distance-Transitive Graphs and Their Classification; A.A. Ivanov. 2.2. On Some Local Characteristics of Distance-Transitive Graphs; A.V. Ivanov. 2.3. Action of the Group M12 on Hadamard Matrices; I.V. Chuvaeva, A.A. Ivanov. 2.4. Construction of an Automorphic Graph on 280 Vertices Using Finite Geometries; F.L. Tchuda. Part 3: Amalgams and Diagram Geometries. 3.1. Applications of Group Amalgams to Algebraic Graph Theory; A.A. Ivanov, S.V. Shpectorov. 3.2. A Geometric Characterization of the Group M22; S.V. Shpectorov. 3.3. Bi-Primitive Cubic Graphs; M.E. Lofinova, A.A. Ivanov. 3.4. On Some Properties of Geometries of Chevalley Groups and Their Generalizations; V.A. Ustimenko. Subject Index.