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

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Book Description

Author: Z. Fiedorowicz
Publisher:
ISBN: 9783662192436
Category :
Languages : en
Pages : 444

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Book Description

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: Larry C. Grove
Publisher: American Mathematical Soc.
ISBN: 0821820192
Category : Mathematics
Languages : en
Pages : 181

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Book Description
A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into a single source the basic facts about classical groups defined over fields, together with the required geometrical background information, from first principles. The chief prerequisites are basic linear algebra and abstract algebra, including fundamentals of group theory and some Galois Theory. The author teaches at the U. of Arizona. c. Book News Inc.

Author: Hermann Weyl
Publisher: Princeton University Press
ISBN: 9780691057569
Category : Mathematics
Languages : en
Pages : 338

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Book Description
The author discusses symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are important in understanding the group-theoretic structure of quantum mechanics.

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

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Book Description

Author: Dmitri Kaledin
Publisher: IOS Press
ISBN: 1586038559
Category : Mathematics
Languages : en
Pages : 356

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Book Description
"Proceedings of the NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields, Geottingen, Germany, 25 June-6 July 2007."--T.p. verso.

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.