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Solvability Of Groups of Odd Order
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  • 出版年份:2222
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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

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