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Groups and Representations

Groups and Representations

Hardcover

Series: Graduate Texts in Mathematics, Book 162

General Mathematics

ISBN10: 0387945253
ISBN13: 9780387945255
Publisher: Springer Nature
Published: Sep 11 1995
Pages: 212
Weight: 1.05
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
1. Rudiments of Group Theory.- 1. Review.- 2. Automorphisms.- 3. Group Actions.- 2. The General Linear Group.- 4. Basic Structure.- 5. Parabolic Subgroups.- 6. The Special Linear Group.- 3. Local Structure.- 7. Sylow's Theorem.- 8. Finite p-groups.- 9. The Schur-Zassenhaus Theorem.- 4. Normal Structure.- 10. Composition Series.- 11. Solvable Groups.- 5. Semisimple Algebras.- 12. Modules and Representations.- 13. Wedderburn Theory.- 6. Group Representations.- 14. Characters.- 15. The Character Table.- 16. Induction.- Appendix: Algebraic Integers and Characters.- List of Notation.

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General Mathematics