02527nam 2200565 450 991048087410332120180613001225.00-8218-7683-X(CKB)3240000000069622(EBL)3113041(SSID)ssj0000629349(PQKBManifestationID)11451445(PQKBTitleCode)TC0000629349(PQKBWorkID)10718060(PQKB)10938155(MiAaPQ)EBC3113041(PPN)197104177(EXLCZ)99324000000006962219890522h19891989 uy| 0engur|n|---|||||txtccrInfinite algebraic extensions of finite fields /Joel V. Brawley and George E. SchnibbenProvidence, Rhode Island :American Mathematical Society,[1989]©19891 online resource (126 p.)Contemporary mathematics,0271-4132 ;volume 95Description based upon print version of record.0-8218-5101-2 Bibliography: pages 101-104.""Contents""; ""Preface""; ""Chapter 1: A survey of some finite field theory""; ""1.1. Introduction""; ""1.2. Finite Fields""; ""1.3. Finite Extensions and Irreducible Polynomials""; ""1.4. Polynomial Representation of Functions on a Finite Field""; ""Chapter 2: Algebraic extensions of finite fields""; ""2.1. Introduction""; ""2.2. The Algebraic Closure of a Finite Field""; ""2.3. Subfields of the Algebraic Closure""; ""2.4. Automorphisms of Subfields of the Algebraic Closure""; ""Chapter 3: Iterated presentations and explicit bases""; ""3.1. Introduction""""4.7. Representation of Linear Transformations on GF(qN)""""Chapter 5: Two applications""; ""5.1. Introduction""; ""5.2. Orthogonal Latin Squares""; ""5.3. Permutation Polynomials on the Matrices over GF(qN)""; ""Bibliography""Contemporary mathematics (American Mathematical Society) ;v. 95.Algebraic fieldsField extensions (Mathematics)Electronic books.Algebraic fields.Field extensions (Mathematics)512/.75Brawley Joel V.955511Schnibben George E.MiAaPQMiAaPQMiAaPQBOOK9910480874103321Infinite algebraic extensions of finite fields2162240UNINA