Author(s): Helmut Wielandt
Publisher: Academic Press
Year: 1964
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
