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181   $ctxt
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183   $acr
200 10$aSymmetric and alternating groups as monodromy groups of Riemann surfaces I $egeneric covers and covers with many branch points /$fRobert M. Guralnick, John Shareshian ; with an appendix by R. Guralnick and J. Stafford
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007.
210  4$dİ2007
215   $a1 online resource (142 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 189, Number 886
300   $a"Volume 189, Number 886 (third of 4 numbers)."
311   $a0-8218-3992-6 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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 a??? r a??? 8, 7 a??? n a??? 20""; ""A.4. r < 5""
327   $a""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 189, Number 886.
606   $aPermutation groups
606   $aCurves
606   $aMonodromy groups
606   $aRiemann surfaces
606   $aSymmetry groups
615  0$aPermutation groups.
615  0$aCurves.
615  0$aMonodromy groups.
615  0$aRiemann surfaces.
615  0$aSymmetry groups.
676   $a512.21
700   $aGuralnick$b Robert M.$f1950-$01565955
702   $aShareshian$b John
702   $aStafford$b J.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788744903321
996   $aSymmetric and alternating groups as monodromy groups of Riemann surfaces I$93838149
997   $aUNINA