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181   $ctxt
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183   $acr
200 14$aThe rational function analogue of a question of Schur and exceptionality of permutation representations /$fRobert M. Guralnick, Peter Mu?ller, Jan Saxl
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2003.
215   $a1 online resource (96 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 773
300   $a"Volume 162, number 773 (end of volume)."
311   $a0-8218-3288-3 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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))""
327   $a""7.8. G = PSL[sub(2)](8) (Theorem 4.10(a))""""7.9. G = PSL[sub(2)](9) (Theorem 4.10(b))""; ""7.10. A remark about one of the sporadic cases""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 773.
606   $aAlgebraic fields
606   $aArithmetic functions
606   $aPermutation groups
606   $aPolynomials
608   $aElectronic books.
615  0$aAlgebraic fields.
615  0$aArithmetic functions.
615  0$aPermutation groups.
615  0$aPolynomials.
676   $a512/.3
700   $aGuralnick$b Robert M.$f1950-$0871746
702   $aMu?ller$b Peter$f1966-
702   $aSaxl$b J$g(Jan),$f1948-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480222903321
996   $aThe rational function analogue of a question of Schur and exceptionality of permutation representations$91945841
997   $aUNINA