گروه‌های جایگشتی محدود

Title page PREFACE CHAPTER 1 FUNDAMENTAL CONCEPTS 1. Notation 2. The Transitive Constituents G^Δ 3. The Subgroups G_Δ 4. Regular and Semiregular Groups 5. Frobenius Groups 6. Blocks 7. Imprimitive Groups 8. Primitive Groups CHAPTER II MULTIPLY TRANSITIVE GROUPS 9. Multiple Transitivity 10. Multiple Primitivity and Half-Transitivity Il. Regular Normal Subgroups of Multiply Transitive Groups 12. Nonregular Normal Subgroups of Multiply Transitive Groups 13. Primitive Groups with Transitive Subgroups of Smaller Degree 14. The Order of Primitive Groups 15. The Minimal Degree of Multiply Transitive Groups CHAPTER III THE TRANSITIVE CONSTITUENTS OF G_α 16. Pairing of Constituents of G_α 17. The Degrees of the Transitive Constituents of G_α 18. The Structure of the Transitive Constituents of G_α in Primitive Groups G 19. Transitive Extension CHAPTER IV THE METHOD OF SCHUR 20. Introduction of Group Elements as Points 21. Transitivity Modules 22. Computation in S-Modules 23. S-Rings 24. The Relationship between S-Rings and Permutation Groups 25. Burnside Groups 26. The Extension Group G(H|\ksi1,\ksi2,...) 27. Supplementary Remarks CHAPTER V RELATIONSHIP WITH REPRESENTATION THEORY 28. The Centralizer Ring 29. The Reduction of the Permutation Representation 30. The Degrees of the Irreducible Constituents of a Transitive Permutation Group 31. Primitive Groups of Degree 2p BIBLIOGRAPHY AUTHOR INDEX NOTATION USED lN TEXT SUBJECT INDEX