《Solvability Of Groups of Odd Order》

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Solvability Of Groups of Odd Order PDF电子版封面

CHAPTER Ⅰ775

1．Introduction775

2．Notation and Definitions775

3．Quoted Results780

4．Elementary Results783

5．Numerical Results786

CHAPTER Ⅱ789

6．Preliminary Lemmas of Lie Type789

7．Preliminary Lemmas of Hall-Higman Type791

8．Miscellaneous Preliminary Lemmas796

CHAPTER Ⅲ803

9．Tamely Imbedded Subsets of a Group803

10．Coherent Sets of Characters809

11．Some Applications of Theorem 10．1816

12．Further Results about Tamely Imbedded Subsets823

13．Self Normalising Cyclic Subgroups829

CHAPTER Ⅳ845

14．Statement of Results Proved in Chapter Ⅳ845

15．A Partition of π(？)848

16．Lemmas about Commutators848

17．A Domination Theorem and Some Consequences850

18．Configurations855

19．An E-theorem857

20．An E-theorem for πs866

21．A C-theorem for πs and a C-theorem for πs870

22．Linking Theorems873

23．Preliminary Results about the Maximal Subgroups of ？884

24．Further Linking Theorems886

25．The Isolated Prime896

26．The Maximal Subgroups of ？900

CHAPTER Ⅴ943

27．Statement of the Result Proved in Chapter Ⅴ943

28．Characters of Subgroups of Type Ⅰ943

29．Characters of Subgroups of Type Ⅲ and Ⅳ945

30．Characters of Subgroups of Type Ⅱ，Ⅲ and Ⅳ948

31．Characters of Subgroups of Type Ⅴ960

32．Subgroups of Type Ⅴ975

33．Subgroups of Type Ⅰ976

34．The Subgroups ？ and ？983

35．Further Results about ？ and ？997

36．The Proof of Theorem 27．11001

CHAPTER Ⅵ1011

37．Statement of the Result Proved in Chapter Ⅵ1011

38．The Sets A and B1011

39．The Proof of Theorem 37．11017

BIBLIOGRAPHY1029

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