The rational function analogue of a question of Schur and exceptionality of permutation representations / / Robert M. Guralnick, Peter Müller, Jan Saxl
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| Autore: |
Guralnick Robert M. <1950->
|
| Titolo: |
The rational function analogue of a question of Schur and exceptionality of permutation representations / / Robert M. Guralnick, Peter Müller, Jan Saxl
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica: | 1 online resource (96 p.) |
| Disciplina: | 512/.3 |
| Soggetto topico: | Algebraic fields |
| Arithmetic functions | |
| Permutation groups | |
| Polynomials | |
| Persona (resp. second.): | MüllerPeter <1966-> |
| SaxlJ <1948-> (Jan) | |
| Note generali: | "Volume 162, number 773 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Arithmetic-Geometric Preparation""; ""2.1. Arithmetic and geometric monodromy groups""; ""2.2. Distinguished conjugacy classes of inertia generators""; ""2.3. Branch cycle descriptions""; ""2.4. The branch cycle argument""; ""2.5. Weak rigidity""; ""2.6. Topological interpretation""; ""2.7. Group theoretic translation of arithmetic exceptionality""; ""2.8. Remark about exceptional functions over finite fields""; ""Chapter 3. Group Theoretic Exceptionality""; ""3.1. Notation and definitions""; ""3.2. Primitive groups"" |
| ""6.3. Existence results""""Chapter 7. Sporadic Cases of Arithmetic Exceptionality""; ""7.1. G = C[sub(2)] x C[sub(2)] (Theorem 4.13(a)(iii))""; ""7.2. G = (C[sup(2)][sub(11)]) x GL[sub(2)(3) (Theorem 4.13(c)(1))""; ""7.3. G = (C[sup(2)][sub(11)]) x S[sub(3)] (Theorem 4.13(c)(ii))""; ""7.4. G = (C[sup(2)][sub(5)]) x ((C[sub(4)] x C[sub(2)]) x C[sub(2)]) (Theorem 4.13(c)(iii))""; ""7.5. G = (C[sup(2)][sub(5)]) x D[sub(12)] (Theorem 4.13(c)(iv))""; ""7.6. G = (C[sup(2)][sub(3)]) x D[sub(8)] (Theorem 4.13(c)(v))""; ""7.7. G = (C[sup(4)][sub(2)]) x (C[sup(5)] x C[sub(2)]) (Theorem 4.13(c)(vi))"" | |
| ""7.8. G = PSL[sub(2)](8) (Theorem 4.10(a))""""7.9. G = PSL[sub(2)](9) (Theorem 4.10(b))""; ""7.10. A remark about one of the sporadic cases""; ""Bibliography"" | |
| Titolo autorizzato: | The rational function analogue of a question of Schur and exceptionality of permutation representations |
| ISBN: | 1-4704-0371-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788849203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 773.