Contents
Preface ix
PART III, CHAPTERS 1-6: THE GENERIC CASE, STAGES
l-3 a
Chapter 1. Theorem C7: General Introduction 1
1. Generic Simple Groups 1
2. The Special Type Hypothesis 3
3. Statement of Theorem 67 4
4. Comments on the Proof of Theorem 5
Chapter 2. General Group-Theoretic Results 9
1. p-Components, Pumpups and p-Terminally 9
2. Stability and the £p-Property 19
3. Balance and Signalizers 24
4. 2-Terminal Intrinsic 2-Components 28
5. Coverings 34
6. Fusion 35
7. p-Groups 37
8. Quasi-p-Cycles 38
9. Miscellaneous 40
Chapter 3. Theorem C^: Stage 1 43
1. Introduction 43
2. p-Sources 50
3. Failure of Local Balance 60
4. The Subsidiary Theorems, General Case 61
5. The Preferred Set 3£(G) 63
6. The Remaining Subsidiary Theorems 67
7. Theorem 1: The 2An Case 67
8. The Tight Sp4(q) Case 70
9. Theorem 2: The Nonsolvable Case 71
10. Theorem 2: The Solvable p-Component Case 72
11. Corollary 2 and Extended p-Sources 76
12. Theorem 3: The Wide Lie Type Case, p = 2 84
13. Theorem 3: The An Case, n 12, and the F5 Case, p = 2 85
14. The Extended (x, K) p-Source Strategy 88
15. Bootstrapping from an Easier Level of Balance 89
16. The L3(4) Case of the Reduction 95
17. Applications to Extended p-Sources 101
Previous Page Next Page