A Course on Group Theory

Author: John S. Rose

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 320

View: 701

Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.

Finite Groups

A Second Course on Group Theory

Author: Bertram A. F. Wehrfritz

Publisher: World Scientific

ISBN:

Category: Mathematics

Page: 123

View: 293

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.

A Course in Group Theory

Author: J. F. Humphreys

Publisher: Oxford University Press on Demand

ISBN:

Category: Business & Economics

Page: 279

View: 628

Each chapter ends with a summary of the material covered and notes on the history and development of group theory.

A Course on Group Theory (Dover Books on Mathematics)

Author: Emma N. Hartley

Publisher: CreateSpace

ISBN:

Category:

Page: 166

View: 998

Thought-provoking and accessible in approach, this updated and expanded second edition of the A Course on Group Theory (Dover Books on Mathematics) provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for advanced graduate-level students. We hope you find this book useful in shaping your future career. Feel free to send us your enquiries related to our publications to [email protected] Rise Press

A Course on Finite Groups

Author: H.E. Rose

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 311

View: 706

Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects. Provides a wealth of exercises and problems to support self-study. Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.

A Course in the Theory of Groups

Author: Derek J.S. Robinson

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 502

View: 138

"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM

Finite Group Theory

Author: M. Aschbacher

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 304

View: 147

The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.

Finite Groups

A Second Course on Group Theory

Author: B A F Wehrfritz

Publisher: World Scientific Publishing Company

ISBN:

Category: Mathematics

Page: 136

View: 460

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics, its proofs often having great elegance and beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day. Request Inspection Copy

A Course on Abstract Algebra

Author: Minking Eie

Publisher: World Scientific

ISBN:

Category: Mathematics

Page: 359

View: 376

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the author's lecture notes at the Department of Mathematics, National Chung Cheng University of Taiwan, it begins with a description of the algebraic structures of the ring and field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's Theorem and Sylow's Theorems follow as applications of group theory. Ring theory forms the second part of abstract algebra, with the ring of polynomials and the matrix ring as basic examples. The general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers are also discussed. The final part of the book focuses on field theory, field extensions and then Galois theory to illustrate the correspondence between the Galois groups and field extensions. This textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.

Group Theory for Physicists

Author: Zhongqi Ma

Publisher: World Scientific

ISBN:

Category: Science

Page: 491

View: 233

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.