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CHAPTER Ⅰ 775

1．Introduction 775

2．Notation and Definitions 775

3．Quoted Results 780

4．Elementary Results 783

5．Numerical Results 786

CHAPTER Ⅱ 789

6．Preliminary Lemmas of Lie Type 789

7．Preliminary Lemmas of Hall-Higman Type 791

8．Miscellaneous Preliminary Lemmas 796

CHAPTER Ⅲ 803

9．Tamely Imbedded Subsets of a Group 803

10．Coherent Sets of Characters 809

11．Some Applications of Theorem 10．1 816

12．Further Results about Tamely Imbedded Subsets 823

13．Self Normalising Cyclic Subgroups 829

CHAPTER Ⅳ 845

14．Statement of Results Proved in Chapter Ⅳ 845

15．A Partition of π(？) 848

16．Lemmas about Commutators 848

17．A Domination Theorem and Some Consequences 850

18．Configurations 855

19．An E-theorem 857

20．An E-theorem for πs 866

21．A C-theorem for πs and a C-theorem for πs 870

22．Linking Theorems 873

23．Preliminary Results about the Maximal Subgroups of ？ 884

24．Further Linking Theorems 886

25．The Isolated Prime 896

26．The Maximal Subgroups of ？ 900

CHAPTER Ⅴ 943

27．Statement of the Result Proved in Chapter Ⅴ 943

28．Characters of Subgroups of Type Ⅰ 943

29．Characters of Subgroups of Type Ⅲ and Ⅳ 945

30．Characters of Subgroups of Type Ⅱ，Ⅲ and Ⅳ 948

31．Characters of Subgroups of Type Ⅴ 960

32．Subgroups of Type Ⅴ 975

33．Subgroups of Type Ⅰ 976

34．The Subgroups ？ and ？ 983

35．Further Results about ？ and ？ 997

36．The Proof of Theorem 27．1 1001

CHAPTER Ⅵ 1011

37．Statement of the Result Proved in Chapter Ⅵ 1011

38．The Sets A and B 1011

39．The Proof of Theorem 37．1 1017

BIBLIOGRAPHY 1029