03347nam 2200661 450 991078874490332120170822144417.01-4704-0490-7(CKB)3360000000465070(EBL)3114137(SSID)ssj0000889252(PQKBManifestationID)11523078(PQKBTitleCode)TC0000889252(PQKBWorkID)10875649(PQKB)10770186(MiAaPQ)EBC3114137(RPAM)14818800(PPN)195417755(EXLCZ)99336000000046507020150417h20072007 uy 0engur|n|---|||||txtccrSymmetric and alternating groups as monodromy groups of Riemann surfaces I generic covers and covers with many branch points /Robert M. Guralnick, John Shareshian ; with an appendix by R. Guralnick and J. StaffordProvidence, Rhode Island :American Mathematical Society,2007.©20071 online resource (142 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 189, Number 886"Volume 189, Number 886 (third of 4 numbers)."0-8218-3992-6 Includes bibliographical references.""Contents""; ""Chapter 1. Introduction and statement of main results""; ""1.1. Five or more branch points""; ""1.2. An n-cycle""; ""1.3. Asymptotic behavior of the genus for actions on k-sets""; ""1.4. Galois groups of trinomials""; ""Chapter 2. Notation and basic lemmas""; ""Chapter 3. Examples""; ""Chapter 4. Proving the main results on five or more branch points - Theorems 1.1.1 and 1.1.2""; ""Chapter 5. Actions on 2-sets - the proof of Theorem 4.0.30""; ""Chapter 6. Actions on 3-sets - the proof of Theorem 4.0.31""; ""Chapter 7. Nine or more branch points - the proof of Theorem 4.0.34""""Chapter 8. Actions on cosets of some 2-homogeneous and 3-homogeneous groups""""Chapter 9. Actions on 3-sets compared to actions on larger sets""; ""Chapter 10. A transposition and an n-cycle""; ""Chapter 11. Asymptotic behavior of g[sub(k)] (E)""; ""Chapter 12. An n-cycle - the proof of Theorem 1.2.1""; ""Chapter 13. Galois groups of trinomials - the proofs of Propositions 1.4.1 and 1.4.2 and Theorem 1.4.3""; ""Appendix A. Finding small genus examples by computer search""; ""A.1. Description""; ""A.2. n = 5 and n = 6""; ""A.3. 5 â?? r â?? 8, 7 â?? n â?? 20""; ""A.4. r < 5""""Bibliography""Memoirs of the American Mathematical Society ;Volume 189, Number 886.Permutation groupsCurvesMonodromy groupsRiemann surfacesSymmetry groupsPermutation groups.Curves.Monodromy groups.Riemann surfaces.Symmetry groups.512.21Guralnick Robert M.1950-1565955Shareshian JohnStafford J.MiAaPQMiAaPQMiAaPQBOOK9910788744903321Symmetric and alternating groups as monodromy groups of Riemann surfaces I3838149UNINA