000 00379nam a2200145Ia 4500
999 _c170380
_d170380
020 _a9780387901909
040 _cCUS
082 _a512.2
_bSER/L
100 _aSerre, Jean-Pierre
245 0 _aLinear representations of finite groups/
_cJean-Pierre Serre
260 _aNew York:
_bSpringer,
_c1977.
300 _ax, 170 p. ;
_c24 cm.
440 _a(Graduate texts in mathematics),
_v42
505 _aPart I: Representations and Characters; 1. Generalities on Linear Representation; 2. Character Theory; 3. Subgroups, products, induced representations; 4. Compact Groups; 5. Examples; Bibliography Part I; Part II: Representation in Characteristic Zero; 6. The Group Algebra; 7. Induced Representations- Mackey's Criterion; 8. Examples of Induced Representations; 9. Artin's Theorem; 10. A Theorem of Brauer; 11. Applications of Brauer's Theorem; 12. Rationality Questions; 13. Rationality Questions: Examples; Bibliography Part II; Part III: Introduction to Brauer Theory; 14. The Groups Rk(G), Rk(G) and Pk(G); 15. The cde Triangle; 16. Theorems; 17. Proofs; 18. Modular Characters; 19. Application to Artin Representations; Appendix; Bibliography part III; Index of Notation; Index of Terminology
650 _aRepresentations of groups
650 _aFinite groups
650 _aGroup theory
650 _aMathematics
942 _cWB16