# krainaksiazek an introduction to the theory of groups of finite order 20121178

- znaleziono 42 produkty w 3 sklepach

### Theory Of Groups Of Finite Order (Classic Reprint)

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>AlgebraKsiążki Obcojęzyczne>Angielskie>Mathematics & science>Ma...**

0x00b62c6200000000

Sklep: Gigant.pl

### Modular Representation Theory Of Finite Groups

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>AlgebraKsiążki Obcojęzyczne>Angielskie>Mathematics & science>Ma...**

This Book Provides A Concise Introduction To Modular Representation Theory For Masters-level Students. It Details Basic Results, Tools, And Techniques As Well As Compares Group Theoretic And Module Theoretic Concepts.

Sklep: Gigant.pl

### Representation Theory of Finite Groups and Associative Algebras American Mathematical Society

**Książki / Literatura obcojęzyczna**

Provides an introduction to various aspects of the representation theory of finite groups. This book covers such topics as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations.

Sklep: Libristo.pl

### The Subgroup Structure of the Finite Classical Groups Cambridge University Press

**Książki / Literatura obcojęzyczna**

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.

Sklep: Libristo.pl

### Linear Representations of Finite Groups Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.§

Sklep: Libristo.pl

### Linear Representations of Finite Groups BERTRAMS

**Książki / Literatura obcojęzyczna**

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.§

Sklep: Libristo.pl

### The Theory of Groups Dover Publications

**Książki / Literatura obcojęzyczna**

Preface to First Edition; Preface to Second Edition I. Elements of Group Theory 1. The Axioms of Group Theory 2. Permutation Groups 3. Investigation of Axioms 4. Subgroups 5. Cyclic Groups 6. Finite Rotation Groups 7. Calculus of Complexes 8. The Concept of Normal Subgroup 9. Normalizer, Class Equation 10. A Theorem of Frobenius II. The Concept of Homomorphy and Groups with Operators 1. Homomorphisms 2. Representation of Groups by Means of Permutations 3. Operators and Operator Homomorphies 4. On the Automorphisms of a Group 5. Normal Chains and Normal Series 6. Commutator Groups and Commutator Forms 7. On the Groups of an Algebra III. The Structure and Construction of Composite Groups 1. Direct Products 2. Theorems on Direct Products 3. Abelian Groups 4. Basis Theorem for Abelian Groups 5. On the Order Ideal 6. Extension Theory 7. Extensions with Cyclic Factor Group 8. Extensions with Abelian Factor Group 9. Splitting Groups IV. Sylow p-Groups and p-Groups 1. The Sylow Theorem 2. Theorems on Sylow p-Groups 3. On p-Groups 4. On the Enumeration Theorems of the Theory of p-Groups 5. On the Descending Central Series 6. Hamiltonian Groups 7. Applications of Extension Theory V. Transfers into a Subgroup 1. Monomial Representation and Transfers into a Subgroup 2. The Theorems of Burnside and Grün 3. Groups whose Sylow Groups are All Cyclic 4. The Principal Ideal Theorem Appendix A. Further Exercises for Chap. II Appendix B. Structure Theory and Direct Products. A Treatment of Chap. III, §2 on the Lattice-Theoretical Level Appendix C. Free Products and Groups Given by a Set of Generators and a System of Defining Relations Appendix D. Further Exercises for Chap. III Appendix E. Further Exercises for Chap. IV, §5 Appendix F. Further Exercises for Chap. IV, §1 Appendix G. A Theorem of Wielandt. An Addendum to Chap. IV Appendix H. Further Exercises for Chap. V, §1 Frequently Used Symbols; Bibliography; Author Index; Index

Sklep: Libristo.pl

### Classical Groups, Derangements and Primes Cambridge University Press

**Książki / Literatura obcojęzyczna**

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.

Sklep: Libristo.pl

### Representations and Characters of Groups Cambridge University Press

**Książki / Literatura obcojęzyczna**

This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.

Sklep: Libristo.pl

### Reflection Groups and Coxeter Groups BERTRAMS

**Książki / Literatura obcojęzyczna**

This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either for courses and seminars or for self-study. The first part is devoted to establishing concrete examples. Finite reflection groups acting on Euclidean spaces are discussed, and the first part ends with the construction of the affine Weyl groups, a class of Coxeter groups that plays a major role in Lie theory. The second part (which is logically independent of, but motivated by, the first) develops from scratch the properties of Coxeter groups in general, including the Bruhat ordering and the seminal work of Kazhdan and Lusztig on representations of Hecke algebras associated with Coxeter groups is introduced. Finally a number of interesting complementary topics as well as connections with Lie theory are sketched. The book concludes with an extensive bibliography on Coxeter groups and their applications.

Sklep: Libristo.pl

### Finite Elements of Nonlinear Continua Dover Publications

**Książki / Literatura obcojęzyczna**

I. Preliminary Discussions 1. Introduction 2. The Finite-Element Concept 3. Mechanics of Continua 4. Kinematic Preliminaries 5. Kinetic Preliminaries II. Theory of Finite Elements 6. Introduction to the Concept of Finite Elements 7. Finite-Element Models of General Functions 8. Higher-Order Representations 9. Theory of Conjugate Approximations 10. Finite Elements and Interpolation Functions 11. Selected Applications III. Thermomechanical Behavior of Finite Elements of Continuous Media 12. Thermodynamic Preliminaries 13. Thermomechanics of a Finite Element 14. Constitutive Equations IV. Finite Elasticity 15. Foundations of the Theory of Elasticity 16. Finite Elements of Elastic Bodies

Sklep: Libristo.pl

### Permutation Groups Springer, Berlin

**Książki / Literatura obcojęzyczna**

Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature.

Sklep: Libristo.pl

### Classical Groups, Derangements And Primes

**Książki Obcojęzyczne>Nieprzypisane**

Graduate-level Introduction To Finite Classical Groups Featuring A Comprehensive Account Of The Conjugacy And Geometry Of Elements Of Prime Order.

Sklep: Gigant.pl

### Group Theory Springer, Berlin

**Książki / Literatura obcojęzyczna**

Contents: M. Barlotti: Faithful simple modules for the non-abelian group of order pq.- A. Caranti, S. Franciosi, F. de Giovanni: Some examples of infinite groups in which each element commutes with its endomorphic images.- A. Giambruno: Polynomial identities with involution and the hyperoctahedral group.- F. Gross: Automorphisms of induced extensions.- C.K. Gupta, N.D.Gupta, F. Levin: On dimension subgroups relative to certain product ideals.- B. Hartley: Centralizers in locally finite groups.- T. Hawkes: Subgroup embedding properties.- H. Heineken: Soluble irreducible groups of automorphisms of certain groups of class two.- H. Laue: On automorphism groups which normalize an abelian normal subgroup.- F. Leinen, R.E. Phillips: Algebraically closed groups in locally finite group classes.- J.C. Lennox: Soluble groups with nilpotent-extensible subgroups.- P. Longobardi, M.Maj: On the nilpotence of groups with a certain lattice of normal subgroups.- W. Möhres: Torsion-free nilpotent groups with bounded ranks of the abelian subgroups.- G. Pirillo: On permutation properties for semigroups.- D.J.S. Robinson: Vanishing theorems for cohomology of locally nilpotent groups.- R. Schmidt: Untergruppenverbände endlicher auflösbarer Gruppen.- C.M. Scoppola: An example of a nonabelian Frobenius-Wielandt complement.- S.E. Stonehewer: Subnormal subgroups of factorised groups.- J.S. Wilson: An embedding condition for subgroups of infinite groups. At the International Group Theory Conference in Bressanone recent trends and results in different areas of group theory were presented and discussed. These proceedings contain some survey articles and a number of research papers touching on a wide range of topics including permutation groups, automorphisms, presentations, products of subgroups, locally finite groups, soluble groups and related problems, with some emphasis on infinite groups.

Sklep: Libristo.pl

### Representation Theory and Harmonic Analysis of Wreath Produc Cambridge University Press

**Książki / Literatura obcojęzyczna**

This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.

Sklep: Libristo.pl

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