LEADER 02524nam 2200565 450 001 9910811769703321 005 20180613001225.0 010 $a0-8218-7683-X 035 $a(CKB)3240000000069622 035 $a(EBL)3113041 035 $a(SSID)ssj0000629349 035 $a(PQKBManifestationID)11451445 035 $a(PQKBTitleCode)TC0000629349 035 $a(PQKBWorkID)10718060 035 $a(PQKB)10938155 035 $a(MiAaPQ)EBC3113041 035 $a(RPAM)2452627 035 $a(PPN)197104177 035 $a(EXLCZ)993240000000069622 100 $a19890522h19891989 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInfinite algebraic extensions of finite fields /$fJoel V. Brawley and George E. Schnibben 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1989] 210 4$dİ1989 215 $a1 online resource (126 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$vvolume 95 300 $aDescription based upon print version of record. 311 $a0-8218-5101-2 320 $aBibliography: pages 101-104. 327 $a""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"" 327 $a""4.7. Representation of Linear Transformations on GF(qN)""""Chapter 5: Two applications""; ""5.1. Introduction""; ""5.2. Orthogonal Latin Squares""; ""5.3. Permutation Polynomials on the Matrices over GF(qN)""; ""Bibliography"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 95. 606 $aAlgebraic fields 606 $aField extensions (Mathematics) 615 0$aAlgebraic fields. 615 0$aField extensions (Mathematics) 676 $a512/.75 700 $aBrawley$b Joel V.$01627331 702 $aSchnibben$b George E. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811769703321 996 $aInfinite algebraic extensions of finite fields$93963864 997 $aUNINA