Finite permutation groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
1968
|
| Edition: | 2. print. |
| Series: | Academic paperbacks
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Permutationsgruppen (engl.) |
| Physical Description: | X, 114 S. |
Staff View
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| 245 | 1 | 0 | |a Finite permutation groups |c by Helmut Wielandt. Transl. by R. Bercov |
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Record in the Search Index
| _version_ | 1804121306051903488 |
|---|---|
| adam_text | Table of Contents
PREFACE vii
CHAPTER I
FUNDAMENTAL CONCEPTS
1. Notation 1
2. The Transitive Constituents GA 4
3. The Subgroups GA 4
4. Regular and Semiregular Groups 8
5. Frobenius Groups 10
6. Blocks 11
7. Imprimitive Groups 13
8. Primitive Groups 15
CHAPTER II
MULTIPLY TRANSITIVE GROUPS
9. Multiple Transitivity 19
10. Multiple Primitivity and Half Transitivity .... 23
11. Regular Normal Subgroups of Multiply
Transitive Groups 26
12. Nonregular Normal Subgroups of Multiply
Transitive Groups 30
13. Primitive Groups with Transitive Subgroups
of Smaller Degree 32
14. The Order of Primitive Groups . . 40
15. The Minimal Degree of Multiply Transitive
Groups 42
CHAPTER III
THE TRANSITIVE CONSTITUENTS OF Ga
16. Pairing of Constituents of Ga 44
17. The Degrees of the Transitive Constituents
ofGa 46
18. The Structure of the Transitive Constituents
of Ga in Primitive Groups G 49
19. Transitive Extension 51
ix
x Table of Contents
CHAPTER IV
THE METHOD OF SCHUR
20. Introduction of Group Elements as Points .... 52
21. Transitivity Modules 54
22. Computation in 5 Modules 55
23. S Rings 56
24. The Relationship between S Rings and
Permutation Groups 60
25. Burnside Groups 64
26. The Extension Group § (H | f, , fa, •••) 69
27. Supplementary Remarks 72
CHAPTER V
RELATIONSHIP WITH REPRESENTATION
THEORY
28. The Centralizer Ring 78
29. The Reduction of the Permutation
Representation 84
30. The Degrees of the Irreducible Constituents of
a Transitive Permutation Group 89
31. Primitive Groups of Degree 2p 93
BIBLIOGRAPHY 104
AUTHOR INDEX Ill
NOTATION USED IN TEXT 112
SUBJECT INDEX 113
|
| any_adam_object | 1 |
| author | Wielandt, Helmut 1910-2001 |
| author_GND | (DE-588)119137860 |
| author_facet | Wielandt, Helmut 1910-2001 |
| author_role | aut |
| author_sort | Wielandt, Helmut 1910-2001 |
| author_variant | h w hw |
| building | Verbundindex |
| bvnumber | BV007116835 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)313608935 (DE-599)BVBBV007116835 |
| discipline | Mathematik |
| edition | 2. print. |
| format | Book |
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| genre | Endliche Permutationsgruppen gnd |
| genre_facet | Endliche Permutationsgruppen |
| id | DE-604.BV007116835 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:55:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004533597 |
| oclc_num | 313608935 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM DE-706 DE-188 DE-83 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM DE-706 DE-188 DE-83 DE-11 |
| physical | X, 114 S. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Acad. Press |
| record_format | marc |
| series2 | Academic paperbacks |
| spelling | Wielandt, Helmut 1910-2001 Verfasser (DE-588)119137860 aut Permutationsgruppen Finite permutation groups by Helmut Wielandt. Transl. by R. Bercov 2. print. New York [u.a.] Acad. Press 1968 X, 114 S. txt rdacontent n rdamedia nc rdacarrier Academic paperbacks EST: Permutationsgruppen (engl.) Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Permutationsgruppe (DE-588)4173833-0 gnd rswk-swf Endliche Permutationsgruppen gnd rswk-swf Endliche Permutationsgruppen f DE-604 Endliche Gruppe (DE-588)4014651-0 s Permutationsgruppe (DE-588)4173833-0 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004533597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wielandt, Helmut 1910-2001 Finite permutation groups Endliche Gruppe (DE-588)4014651-0 gnd Permutationsgruppe (DE-588)4173833-0 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4173833-0 |
| title | Finite permutation groups |
| title_alt | Permutationsgruppen |
| title_auth | Finite permutation groups |
| title_exact_search | Finite permutation groups |
| title_full | Finite permutation groups by Helmut Wielandt. Transl. by R. Bercov |
| title_fullStr | Finite permutation groups by Helmut Wielandt. Transl. by R. Bercov |
| title_full_unstemmed | Finite permutation groups by Helmut Wielandt. Transl. by R. Bercov |
| title_short | Finite permutation groups |
| title_sort | finite permutation groups |
| topic | Endliche Gruppe (DE-588)4014651-0 gnd Permutationsgruppe (DE-588)4173833-0 gnd |
| topic_facet | Endliche Gruppe Permutationsgruppe Endliche Permutationsgruppen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004533597&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wielandthelmut permutationsgruppen AT wielandthelmut finitepermutationgroups |