有限域上典型群的几何学 PDF Download

Author: Zhexian Wan
Publisher:
ISBN: 9787030105950
Category : Finite fields (Algebra)
Languages : en
Pages : 445

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Book Description
中国科学院科学出版基金资助出版

Author: Zhexian Wan
Publisher:
ISBN:
Category : Finite fields (Algebra).
Languages : en
Pages : 416

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Book Description
This monograph provides a survey of classical groups over finite fields. Many important results, appearing for the first time in book-form, are clearly presented. Most of them have been obtained by the author and students under his supervision.

Author: Larry C. Grove
Publisher: John Wiley & Sons
ISBN: 1118030931
Category : Mathematics
Languages : en
Pages : 228

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Book Description
An authoritative, full-year course on both group theory and ordinary character theory--essential tools for mathematics and the physical sciences One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups. Challenging yet accessible, Groups and Characters features: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.

Author: Z. Fiedorowicz
Publisher: Springer
ISBN: 3540357351
Category : Mathematics
Languages : en
Pages : 441

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Book Description

Author: Donald E. Taylor
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 252

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Book Description

Author: Zhexian Wan
Publisher: Springer Science & Business Media
ISBN: 9780792339892
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.

Author: Peter B. Kleidman
Publisher: Cambridge University Press
ISBN: 052135949X
Category : Mathematics
Languages : en
Pages : 317

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Book Description
With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.

Author: Tung-hsin Ku
Publisher: World Scientific
ISBN: 9814548960
Category :
Languages : en
Pages : 530

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Book Description
This volume contains selected papers presented at the Summer School and International Conference on Combinatorics. The topics include Combinatorial Algorithms, Combinatorial Geometry, Combinatorial Optimization, Combinatorial Matrix Theory, Hypergraph and others.

Author: Meinolf Geck
Publisher: Oxford University Press
ISBN: 019967616X
Category : Mathematics
Languages : en
Pages : 321

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Book Description
An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.

Author: Zhe-Xian Wan
Publisher: World Scientific
ISBN: 9789812385703
Category : Mathematics
Languages : en
Pages : 360

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Book Description
This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.