000			03863nam a22005053i 4500
001			EBC3114572
003			MiAaPQ
005			20240729124612.0
006			m o d |
007			cr cnu||||||||
008			240724s2003 xx o ||||0 eng d
020			_a9781470403713 _q(electronic bk.)
020			_z9780821832882
035			_a(MiAaPQ)EBC3114572
035			_a(Au-PeEL)EBL3114572
035			_a(CaPaEBR)ebr11041350
035			_a(OCoLC)922964942
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA247 -- .G87 2003eb
082	0		_a512/.3
100	1		_aGuralnick, Robert M.
245	1	0	_aRational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2003.
264		4	_c©2003.
300			_a1 online resource (96 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.162
505	0		_aIntro -- 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 -- 3.3. General results on exceptionality -- 3.4. Examples of exceptionality -- 3.5. Nonabelian regular normal subgroups -- 3.6. Product action -- 3.7. Diagonal action -- 3.8. Almost simple groups -- Chapter 4. Genus 0 Condition -- 4.1. Genus 0 systems in finite permutation groups -- 4.2. Diagonal action -- 4.3. Product action -- 4.4. Almost simple groups -- 4.5. Affine action -- Chapter 5. Dickson Polynomials and Rédei Functions -- Chapter 6. Rational Functions with Euclidean Signature -- 6.1. Elliptic Curves -- 6.2. Non-existence results -- 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.
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	_aAlgebraic fields.
650		0	_aArithmetic functions.
650		0	_aPermutation groups.
650		0	_aPolynomials.
655		4	_aElectronic books.
700	1		_aMüller, Peter.
700	1		_aSaxl, Jan.
776	0	8	_iPrint version: _aGuralnick, Robert M. _tRational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations _dProvidence : American Mathematical Society,c2003 _z9780821832882
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114572 _zClick to View
999			_c70067 _d70067