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Author : Adalbert Kerber
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebraic Combinatorics Via Finite Group Actions written by Adalbert Kerber and published by . This book was released on 1991 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adalbert Kerber
Publisher : Springer Science & Business Media
ISBN 13 : 9783540659419
Total Pages : 488 pages
Book Rating : 4.6/5 (594 download)
Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 1999-08-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
Author : Adalbert Kerber
Publisher : Springer Science & Business Media
ISBN 13 : 3662111675
Total Pages : 478 pages
Book Rating : 4.6/5 (621 download)
Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
Author : Richard P. Stanley
Publisher : Springer Science & Business Media
ISBN 13 : 1461469988
Total Pages : 226 pages
Book Rating : 4.4/5 (614 download)
Download or read book Algebraic Combinatorics written by Richard P. Stanley and published by Springer Science & Business Media. This book was released on 2013-06-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.
Author : Anton Betten
Publisher : Springer Science & Business Media
ISBN 13 : 3642594484
Total Pages : 358 pages
Book Rating : 4.6/5 (425 download)
Download or read book Algebraic Combinatorics and Applications written by Anton Betten and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a high-level conference on discrete mathematics, focusing on group actions in the areas of pure mathematics, applied mathematics, computer science, physics, and chemistry. A useful tool for researchers and graduate students in discrete mathematics and theoretical computer science.
Author : Mara D. Neusel
Publisher : American Mathematical Soc.
ISBN 13 : 0821849816
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)
Download or read book Invariant Theory of Finite Groups written by Mara D. Neusel and published by American Mathematical Soc.. This book was released on 2010-03-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters. The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.
Author : A. A. Ivanov
Publisher : World Scientific
ISBN 13 : 9789812564481
Total Pages : 350 pages
Book Rating : 4.5/5 (644 download)
Download or read book Groups Combinatorics & Geometry written by A. A. Ivanov and published by World Scientific. This book was released on 2003 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the theory of groups in particular simplegroups, finite and algebraic has influenced a number of diverseareas of mathematics. Such areas include topics where groups have beentraditionally applied, such as algebraic combinatorics, finitegeometries, Galois theory and permutation groups, as well as severalmore recent developments.
Author : I_A. G. Berkovich
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897881
Total Pages : 364 pages
Book Rating : 4.8/5 (978 download)
Download or read book Characters of Finite Groups written by I_A. G. Berkovich and published by American Mathematical Soc.. This book was released on 1998-09-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations of monomial groups. The presentation is detailed, and many proofs of known results are new.
Author : A A Ivanov
Publisher : World Scientific
ISBN 13 : 9814486426
Total Pages : 348 pages
Book Rating : 4.8/5 (144 download)
Download or read book Groups, Combinatorics and Geometry written by A A Ivanov and published by World Scientific. This book was released on 2003-03-19 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups. This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications. Contents:Curtis–Phan–Tits Theory (C D Bennett et al.)Derangements in Simple and Primitive Groups (J Fulman & R Guralnick)Computing with Matrix Groups (W M Kantor & Á Seress)Bases of Primitive Permutation Groups (M W Liebeck & A Shalev)Modular Subgroup Arithmetic (T W Müller)Counting Nets in the Monster (S P Norton)Overgroups of Finite Quasiprimitive Permutation Groups (C E Praeger)Old Groups Can Learn New Tricks (L Pyber)Structure and Presentations of Lie-Type Groups (F G Timmesfeld)Computing in the Monster (R A Wilson)and other papers Readership: Graduate students, researchers and academics in algebra. Keywords:Simple Groups;Algebraic Combinatorics;Finite Geometry;Permutation Groups. Probabilistic Group
Author : IA. G. Berkovich E. M. Zhmud'
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897829
Total Pages : 414 pages
Book Rating : 4.8/5 (978 download)
Download or read book Characters of Finite Groups. Part 1 written by IA. G. Berkovich E. M. Zhmud' and published by American Mathematical Soc.. This book was released on 1997-12-02 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses character theory and its applications to finite groups. The work places the subject within the reach of people with a relatively modest mathematical background. The necessary background exceeds the standard algebra course with respect only to finite groups. Starting with basic notions and theorems in character theory, the authors present a variety of results on the properties of complex-valued characters and applications to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations and applications of monomial groups. The presentation is detailed, and many proofs of known results are new. Most of the results in the book are presented in monograph form for the first time. Numerous exercises offer additional information on the topics and help readers to understand the main concepts and results.
Author : Yakov G. Berkovich
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110224097
Total Pages : 725 pages
Book Rating : 4.1/5 (12 download)
Download or read book Yakov G. Berkovich; Lev S. Kazarin; Emmanuel M. Zhmud': Characters of Finite Groups. Volume 2 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-12-17 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
Author : François Bergeron
Publisher : Cambridge University Press
ISBN 13 : 9780521573238
Total Pages : 484 pages
Book Rating : 4.5/5 (732 download)
Download or read book Combinatorial Species and Tree-like Structures written by François Bergeron and published by Cambridge University Press. This book was released on 1998 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transform recursive definitions of tree-like structures into functional or differential equations, and vice versa. The goal of this book is to present the basic elements of the theory and to give a unified account of its developments and applications. It offers a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis and differential equations. This book will be a valuable reference to graduate students and researchers in combinatorics, analysis, and theoretical computer science.
Author : Naihuan Jing
Publisher : World Scientific
ISBN 13 : 9812775404
Total Pages : 171 pages
Book Rating : 4.8/5 (127 download)
Download or read book Algebraic Combinatorics and Quantum Groups written by Naihuan Jing and published by World Scientific. This book was released on 2003 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic combinatorics has evolved into one of the most active areas of mathematics. Its developments have become more interactive with not only its traditional field representation theory but also geometry, mathematical physics and harmonic analysis. This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields.
Author : Gérard Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540601142
Total Pages : 504 pages
Book Rating : 4.6/5 (11 download)
Download or read book Applied Algebra, Algebraic Algorithms and Error-Correcting Codes written by Gérard Cohen and published by Springer Science & Business Media. This book was released on 1995 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995. The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.
Author : Meinolf Geck
Publisher : Oxford University Press
ISBN 13 : 9780198502500
Total Pages : 478 pages
Book Rating : 4.5/5 (25 download)
Download or read book Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras written by Meinolf Geck and published by Oxford University Press. This book was released on 2000 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Coxeter groups and related structures arise naturally in several branches of mathematics such as the theory of Lie algebras and algebraic groups. The corresponding Iwahori-Hecke algebras are then obtained by a certain deformation process which have applications in the representation theory of groups of Lie type and the theory of knots and links. This book develops the theory of conjugacy classes and irreducible character, both for finite Coxeter groups and the associated Iwahori-Hecke algebras. Topics covered range from classical results to more recent developments and are clear and concise. This is the first book to develop these subjects both from a theoretical and an algorithmic point of view in a systematic way, covering all types of finite Coxeter groups.
Author : T H Ku
Publisher : World Scientific
ISBN 13 : 9814552623
Total Pages : 288 pages
Book Rating : 4.8/5 (145 download)
Download or read book Combinatorics and Graph Theory written by T H Ku and published by World Scientific. This book was released on 1993-09-23 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers presented at the Spring School and International Conference on Combinatorics. Topics discussed include: Enumeration, Design, Graphs, Hypergraphs and Combinatorial Optimization, etc. Covering a broad range, this book should appeal to a wide spectrum of researchers in combinatorics and graph theory. Contents:Partial n-Solution to the Modular n-Queens Problem II (M R Chen et al)Power-Type Generating Functions and Asymptotic Expansions (L C Hsu)Enumeration Using Cycle Indices and Marks (E K Lloyd)Design Patterns of Incomplete Block Designs for Parallel Line Assays (P D Puri & L R Gupta)Research about the Structure of EGD/(2t-1) — PBIB Designs (J Y Xu)Strongly Extendable Graphs I (Z Q Chen)Group Generation of Self-Complementary Graphs (R Figueroa & R E Guidici)Decomposition of Kn into Degenerate Graphs (R Klein & J Schönheim)Homo-morphisms on n-Dimensional Line Digraphs (X L Li & F J Zhang)Total Chromatic Number of Graphs G having Maximum Degree |G|– 3 (H P Yap)On Optimal Network with Quasi-Full Steiner Topology (J Y Ding & G D Song)A General Scheme for Solving Linear Complementarity Problems in the Setting of Oriented Matroids (T Terlaky & Z-M Wang)A Linear Programming Interpretation of Lemke's Scheme I (R Zhou)and other papers Readership: Mathematicians. keywords:
Author : Marc Cabanes
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638856
Total Pages : 468 pages
Book Rating : 4.6/5 (388 download)
Download or read book Finite Reductive Groups: Related Structures and Representations written by Marc Cabanes and published by Springer Science & Business Media. This book was released on 1997 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.
