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Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations. (Record no. 70067)

MARC details
000 -LEADER
fixed length control field 03863nam a22005053i 4500
001 - CONTROL NUMBER
control field EBC3114572
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124612.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2003 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403713
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821832882
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114572
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114572
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041350
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922964942
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA247 -- .G87 2003eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.3
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Guralnick, Robert M.
245 10 - TITLE STATEMENT
Title Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2003.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2003.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (96 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.162
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- 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 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebraic fields.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Arithmetic functions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Permutation groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Polynomials.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Müller, Peter.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Saxl, Jan.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Guralnick, Robert M.
Title Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations
Place, publisher, and date of publication Providence : American Mathematical Society,c2003
International Standard Book Number 9780821832882
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114572">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114572</a>
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