000 03187nam a22005053i 4500
001 EBC3114137
003 MiAaPQ
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006 m o d |
007 cr cnu||||||||
008 240724s2007 xx o ||||0 eng d
020 _a9781470404901
_q(electronic bk.)
020 _z9780821839928
035 _a(MiAaPQ)EBC3114137
035 _a(Au-PeEL)EBL3114137
035 _a(CaPaEBR)ebr11039756
035 _a(OCoLC)922981716
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA175 -- .G87 2007eb
082 0 _a512.21
100 1 _aGuralnick, Robert M.
245 1 0 _aSymmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I :
_bGeneric Covers and Covers with Many Branch Points.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2007.
264 4 _c©2007.
300 _a1 online resource (142 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMemoirs of the American Mathematical Society ;
_vv.189
505 0 _aIntro -- 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 ≤ r ≤ 8, 7 ≤ n ≤ 20 -- A.4. r &lt -- 5 -- Bibliography.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aPermutation groups.
650 0 _aCurves.
650 0 _aMonodromy groups.
650 0 _aRiemann surfaces.
650 0 _aSymmetry groups.
655 4 _aElectronic books.
700 1 _aShareshian, John.
776 0 8 _iPrint version:
_aGuralnick, Robert M.
_tSymmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I
_dProvidence : American Mathematical Society,c2007
_z9780821839928
797 2 _aProQuest (Firm)
830 0 _aMemoirs of the American Mathematical Society
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114137
_zClick to View
999 _c69668
_d69668