Symmetric and alternating groups as monodromy groups of Riemann surfaces: 1 Generic covers and covers with many branch points : with an appendix by R. Guralnick and R. Stafford
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2007
|
| Series: | Memoirs of the American Mathematical Society
886 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 128 S. |
| ISBN: | 9780821839928 |
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MARC
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction and statement of main results 1
1.1. Five or more branch points 8
1.2. An n cycle 9
1.3. Asymptotic behavior of the genus for actions on fc sets 10
1.4. Galois groups of trinomials 10
Chapter 2. Notation and basic lemmas 13
Chapter 3. Examples 21
Chapter 4. Proving the main results on five or more branch points Theorems
1.1.1 and 1.1.2 29
Chapter 5. Actions on 2 sets the proof of Theorem 4.0.30 33
Chapter 6. Actions on 3 sets the proof of Theorem 4.0.31 65
Chapter 7. Nine or more branch points the proof of Theorem 4.0.34 79
Chapter 8. Actions on cosets of some 2 homogeneous and 3 homogeneous
groups 81
Chapter 9. Actions on 3 sets compared to actions on larger sets 89
Chapter 10. A transposition and an n cycle 97
Chapter 11. Asymptotic behavior of gk{E) 103
Chapter 12. An n cycle the proof of Theorem 1.2.1 107
Chapter 13. Galois groups of trinomials the proofs of Propositions 1.4.1 and
1.4.2 and Theorem 1.4.3 117
Appendix A. Finding small genus examples by computer search by R.
Guralnick and R. Stafford 123
A.I. Description 123
A.2. n = 5 and n = 6 123
A.3. 5 r 8, 7 n 20 124
A.4. r 5 125
Appendix. Bibliography 127
V
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| adam_txt |
Contents
Chapter 1. Introduction and statement of main results 1
1.1. Five or more branch points 8
1.2. An n cycle 9
1.3. Asymptotic behavior of the genus for actions on fc sets 10
1.4. Galois groups of trinomials 10
Chapter 2. Notation and basic lemmas 13
Chapter 3. Examples 21
Chapter 4. Proving the main results on five or more branch points Theorems
1.1.1 and 1.1.2 29
Chapter 5. Actions on 2 sets the proof of Theorem 4.0.30 33
Chapter 6. Actions on 3 sets the proof of Theorem 4.0.31 65
Chapter 7. Nine or more branch points the proof of Theorem 4.0.34 79
Chapter 8. Actions on cosets of some 2 homogeneous and 3 homogeneous
groups 81
Chapter 9. Actions on 3 sets compared to actions on larger sets 89
Chapter 10. A transposition and an n cycle 97
Chapter 11. Asymptotic behavior of gk{E) 103
Chapter 12. An n cycle the proof of Theorem 1.2.1 107
Chapter 13. Galois groups of trinomials the proofs of Propositions 1.4.1 and
1.4.2 and Theorem 1.4.3 117
Appendix A. Finding small genus examples by computer search by R.
Guralnick and R. Stafford 123
A.I. Description 123
A.2. n = 5 and n = 6 123
A.3. 5 r 8, 7 n 20 124
A.4. r 5 125
Appendix. Bibliography 127
V |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:31:42Z |
| indexdate | 2024-07-09T21:05:19Z |
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| isbn | 9780821839928 |
| language | English |
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| physical | VI, 128 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | AMS |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Guralnick, Robert M. 1950- Verfasser (DE-588)133927911 aut Symmetric and alternating groups as monodromy groups of Riemann surfaces 1 Generic covers and covers with many branch points : with an appendix by R. Guralnick and R. Stafford Robert M. Guralnick ; John Shareshian Providence, RI AMS 2007 VI, 128 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 886 Memoirs of the American Mathematical Society ... Shareshian, John Verfasser aut (DE-604)BV022753553 1 Memoirs of the American Mathematical Society 886 (DE-604)BV008000141 886 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015959259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guralnick, Robert M. 1950- Shareshian, John Symmetric and alternating groups as monodromy groups of Riemann surfaces Memoirs of the American Mathematical Society |
| title | Symmetric and alternating groups as monodromy groups of Riemann surfaces |
| title_auth | Symmetric and alternating groups as monodromy groups of Riemann surfaces |
| title_exact_search | Symmetric and alternating groups as monodromy groups of Riemann surfaces |
| title_exact_search_txtP | Symmetric and alternating groups as monodromy groups of Riemann surfaces |
| title_full | Symmetric and alternating groups as monodromy groups of Riemann surfaces 1 Generic covers and covers with many branch points : with an appendix by R. Guralnick and R. Stafford Robert M. Guralnick ; John Shareshian |
| title_fullStr | Symmetric and alternating groups as monodromy groups of Riemann surfaces 1 Generic covers and covers with many branch points : with an appendix by R. Guralnick and R. Stafford Robert M. Guralnick ; John Shareshian |
| title_full_unstemmed | Symmetric and alternating groups as monodromy groups of Riemann surfaces 1 Generic covers and covers with many branch points : with an appendix by R. Guralnick and R. Stafford Robert M. Guralnick ; John Shareshian |
| title_short | Symmetric and alternating groups as monodromy groups of Riemann surfaces |
| title_sort | symmetric and alternating groups as monodromy groups of riemann surfaces generic covers and covers with many branch points with an appendix by r guralnick and r stafford |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015959259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022753553 (DE-604)BV008000141 |
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