Representation theory of finite groups [electronic resource] / Martin Burrow.

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Bibliographic Details
Online Access: Full Text (via ScienceDirect)
Main Author: Burrow, Martin
Format: Electronic eBook
Language:English
Published: New York : Academic Press, ©1965.
Series:Academic paperbacks. Mathematics.
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MARC

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245 1 0 |a Representation theory of finite groups  |h [electronic resource] /  |c Martin Burrow. 
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505 0 |a Front Cover; Representation Theory of Finite Groups; Copyright Page; Table of Contents; Chapter I. Foundations; 1. Introduction; 2. Group Characters; 3. Representation Modules; 4. Application of Ideas and Results from Group Theory; 5. The Regular Representation; Chapter II. Representation Theory of Rings with Identity; 6. Some Fundamental Lemmas; 7. The Principal Indecomposable Representations; 8. The Radical of a Ring; 9. Semisimple Rings; 10. The Wedderburn Structure Theorems for Semisimple Rings; 11. Intertwining Numbers. 
505 8 |a 12. Multiplicities of the Indecomposable Componentsin the Regular Representation13. The Generalized Burnside Theorem; Chapter III. The Representation Theory of Finite Groups; 14. The Group Algebra; 15. The Regular Representation of a Group; 16. Semisimplicity of the Group Algebra; 17. The Center of the Group Algebra; 18. The Number of Inequivalent Irreducible Representations; 19. Relations on the Irreducible Characters; 20. The Module of Characters over the Integers; 21. The Kronecker Product of Two Representations; 22. Linear Characters; 23. Induced Representations and Induced Characters. 
505 8 |a Chapter IV. Applications of the Theory of Characters24. Algebraic Numbers; 25. Some Results from the Theory of Characters; 26. Normal Subgroups and the Character Table; 27. Some Classical Theorems; Chapter V. The Construction of Irreducible Representations; 28. Primitive Idempotents; 29. Some examples of Group Representations; Chapter VI. Modular Representations; 30. General Remarks; 31. p-Regular Elements of a Finite Group; 32. Conditions for Two Representations to Have the Same Composition Factors; 33. The Brauer Characters; 34. Integral Representations. 
505 8 |a 35. Ordinary and Modular Representations of Algebras36. p-Adic Fields; 37. Algebras over a p-Aaic Field; 38. A Connection between the Intertwining Numbers; 39. Modular Representations of Groups; 40. Cartan Invariants and Decomposition Numbers; 41. Character Relations; 42. Modular Orthogonality Relations; Appendix; 1. Groups; 2. Rings, Ideals, and Fields; BIBLIOGRAPHY; SUBJECT INDEX. 
504 |a Includes bibliographical references (pages 180-181) and index. 
588 0 |a Print version record. 
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