The rational function analogue of a question of Schur and exceptionality of permutation representations:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2003
|
| Series: | Memoirs of the American Mathematical Society
773 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 162, number 773 (end of volume)." Includes bibliographical references |
| Physical Description: | VII, 79 S. |
| ISBN: | 0821832883 |
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| 100 | 1 | |a Guralnick, Robert M. |d 1950- |e Verfasser |0 (DE-588)133927911 |4 aut | |
| 245 | 1 | 0 | |a The rational function analogue of a question of Schur and exceptionality of permutation representations |c Robert M. Guralnick ; Peter Müller ; Jan Saxl |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2003 | |
| 300 | |a VII, 79 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 773 | |
| 500 | |a "Volume 162, number 773 (end of volume)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a Algebraïsche oppervlakken |2 gtt | |
| 650 | 7 | |a Aritmetische functies |2 gtt | |
| 650 | 7 | |a CORPOS GLOBAIS |2 larpcal | |
| 650 | 7 | |a CURVAS ELÍTICAS (GEOMETRIA ALGÉBRICA) |2 larpcal | |
| 650 | 7 | |a FUNÇÕES AUTOMORFAS (TEORIA DOS NÚMEROS) |2 larpcal | |
| 650 | 7 | |a PERMUTAÇÕES |2 larpcal | |
| 650 | 7 | |a Permutatiegroepen |2 gtt | |
| 650 | 7 | |a Polynomen |2 gtt | |
| 650 | 4 | |a Algebraic fields | |
| 650 | 4 | |a Arithmetic functions | |
| 650 | 4 | |a Permutation groups | |
| 650 | 4 | |a Polynomials | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Arithmetic Geometric Preparation 6
2.1. Arithmetic and geometric monodromy groups 6
2.2. Distinguished conjugacy classes of inertia generators 6
2.3. Branch cycle descriptions 6
2.4. The branch cycle argument 7
2.5. Weak rigidity 8
2.6. Topological interpretation 9
2.7. Group theoretic translation of arithmetic exceptionality 10
2.8. Remark about exceptional functions over finite fields 10
Chapter 3. Group Theoretic Exceptionality 12
3.1. Notation and definitions 12
3.2. Primitive groups 13
3.3. General results on exceptionality 13
3.4. Examples of exceptionality 16
3.5. Nonabelian regular normal subgroups 19
3.6. Product action 20
3.7. Diagonal action 20
3.8. Almost simple groups 22
Chapter 4. Genus 0 Condition 36
4.1. Genus 0 systems in finite permutation groups 36
4.2. Diagonal action 39
4.3. Product action 40
4.4. Almost simple groups 42
4.5. AfBne action 46
Chapter 5. Dickson Polynomials and Redei Functions 51
Chapter 6. Rational Functions with Euclidean Signature 53
6.1. Elliptic Curves 53
6.2. Non existence results 55
6.3. Existence results 59
Chapter 7. Sporadic Cases of Arithmetic Exceptionality 70
7.1. G = C2xC2 (Theorem 4.13(a)(iii)) 70
7.2. G = (Cft) xi GL2(3) (Theorem 4.13(c)(i)) 71
7.3. G = (Cf) x S3 (Theorem 4.13(c)(ii)) 72
7.4. G = (Cf) xi ((C4 x C2) x C2) (Theorem 4.13(c)(iii)) 73
V
vi CONTENTS
7.5. G = (CD x #12 (Theorem 4.13(c)(iv)) 73
7.6. G = (Cf) xi D $ (Theorem 4.13(c)(v)) 73
7.7. G = (C $) x (Cs x C2) (Theorem 4.13(c)(vi)) 73
7.8. G = PSL2(8) (Theorem 4.10(a)) 73
7.9. G = PSL2(9) (Theorem 4.10(b)) 75
7.10. A remark about one of the sporadic cases 75
Bibliography 77
|
| any_adam_object | 1 |
| author | Guralnick, Robert M. 1950- |
| author_GND | (DE-588)133927911 (DE-588)130403857 (DE-588)121116573 |
| author_facet | Guralnick, Robert M. 1950- |
| author_role | aut |
| author_sort | Guralnick, Robert M. 1950- |
| author_variant | r m g rm rmg |
| building | Verbundindex |
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| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 201f MAT 144f MAT 120f |
| ctrlnum | (OCoLC)51022634 (DE-599)BVBBV014892581 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014892581 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:08:30Z |
| institution | BVB |
| isbn | 0821832883 |
| language | English |
| lccn | 2002038385 |
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| physical | VII, 79 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
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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 The rational function analogue of a question of Schur and exceptionality of permutation representations Robert M. Guralnick ; Peter Müller ; Jan Saxl Providence, RI American Mathematical Society 2003 VII, 79 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 773 "Volume 162, number 773 (end of volume)." Includes bibliographical references Algebraïsche oppervlakken gtt Aritmetische functies gtt CORPOS GLOBAIS larpcal CURVAS ELÍTICAS (GEOMETRIA ALGÉBRICA) larpcal FUNÇÕES AUTOMORFAS (TEORIA DOS NÚMEROS) larpcal PERMUTAÇÕES larpcal Permutatiegroepen gtt Polynomen gtt Algebraic fields Arithmetic functions Permutation groups Polynomials Algebraischer Körper (DE-588)4141852-9 gnd rswk-swf Permutationsgruppe (DE-588)4173833-0 gnd rswk-swf Arithmetische Funktion (DE-588)4368429-4 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Algebraischer Körper (DE-588)4141852-9 s Arithmetische Funktion (DE-588)4368429-4 s Permutationsgruppe (DE-588)4173833-0 s Polynom (DE-588)4046711-9 s DE-604 Müller, Peter 1966- Sonstige (DE-588)130403857 oth Saxl, Jan 1948- Sonstige (DE-588)121116573 oth Memoirs of the American Mathematical Society 773 (DE-604)BV008000141 773 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010069781&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guralnick, Robert M. 1950- The rational function analogue of a question of Schur and exceptionality of permutation representations Memoirs of the American Mathematical Society Algebraïsche oppervlakken gtt Aritmetische functies gtt CORPOS GLOBAIS larpcal CURVAS ELÍTICAS (GEOMETRIA ALGÉBRICA) larpcal FUNÇÕES AUTOMORFAS (TEORIA DOS NÚMEROS) larpcal PERMUTAÇÕES larpcal Permutatiegroepen gtt Polynomen gtt Algebraic fields Arithmetic functions Permutation groups Polynomials Algebraischer Körper (DE-588)4141852-9 gnd Permutationsgruppe (DE-588)4173833-0 gnd Arithmetische Funktion (DE-588)4368429-4 gnd Polynom (DE-588)4046711-9 gnd |
| subject_GND | (DE-588)4141852-9 (DE-588)4173833-0 (DE-588)4368429-4 (DE-588)4046711-9 |
| title | The rational function analogue of a question of Schur and exceptionality of permutation representations |
| title_auth | The rational function analogue of a question of Schur and exceptionality of permutation representations |
| title_exact_search | The rational function analogue of a question of Schur and exceptionality of permutation representations |
| title_full | The rational function analogue of a question of Schur and exceptionality of permutation representations Robert M. Guralnick ; Peter Müller ; Jan Saxl |
| title_fullStr | The rational function analogue of a question of Schur and exceptionality of permutation representations Robert M. Guralnick ; Peter Müller ; Jan Saxl |
| title_full_unstemmed | The rational function analogue of a question of Schur and exceptionality of permutation representations Robert M. Guralnick ; Peter Müller ; Jan Saxl |
| title_short | The rational function analogue of a question of Schur and exceptionality of permutation representations |
| title_sort | the rational function analogue of a question of schur and exceptionality of permutation representations |
| topic | Algebraïsche oppervlakken gtt Aritmetische functies gtt CORPOS GLOBAIS larpcal CURVAS ELÍTICAS (GEOMETRIA ALGÉBRICA) larpcal FUNÇÕES AUTOMORFAS (TEORIA DOS NÚMEROS) larpcal PERMUTAÇÕES larpcal Permutatiegroepen gtt Polynomen gtt Algebraic fields Arithmetic functions Permutation groups Polynomials Algebraischer Körper (DE-588)4141852-9 gnd Permutationsgruppe (DE-588)4173833-0 gnd Arithmetische Funktion (DE-588)4368429-4 gnd Polynom (DE-588)4046711-9 gnd |
| topic_facet | Algebraïsche oppervlakken Aritmetische functies CORPOS GLOBAIS CURVAS ELÍTICAS (GEOMETRIA ALGÉBRICA) FUNÇÕES AUTOMORFAS (TEORIA DOS NÚMEROS) PERMUTAÇÕES Permutatiegroepen Polynomen Algebraic fields Arithmetic functions Permutation groups Polynomials Algebraischer Körper Permutationsgruppe Arithmetische Funktion Polynom |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010069781&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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