LEADER 02936nam 2200589 450 001 9910479989103321 005 20170918210214.0 010 $a1-4704-0295-5 035 $a(CKB)3360000000464888 035 $a(EBL)3114558 035 $a(SSID)ssj0000973889 035 $a(PQKBManifestationID)11516458 035 $a(PQKBTitleCode)TC0000973889 035 $a(PQKBWorkID)10985121 035 $a(PQKB)10104185 035 $a(MiAaPQ)EBC3114558 035 $a(PPN)195415892 035 $a(EXLCZ)993360000000464888 100 $a20000711h20002000 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe second Chinburg conjecture for quaternion fields /$fJeff Hooper, Victor Snaith, Minh van Tran 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2000] 210 4$dİ2000 215 $a1 online resource (146 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 704 300 $aDescription based upon print version of record. 311 $a0-8218-2164-4 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Class-groups of group-rings""; ""1. Hom Descriptions""; ""2. The class-group of Z[Q[sub(8)]]""; ""3. The second Chinburg conjecture""; ""Chapter 2. The evaluation of [X]""; ""1. A Hom-description representative of [X]""; ""2. Kim's Examples""; ""Chapter 3. Quaternion fields over Q[sub(2)]""; ""1. Galois actions""; ""2. Fundamental 2-extensions""; ""3. The fundamental 2-extension in Case A""; ""4. The fundamental 2-extension in Case B""; ""5. The fundamental 2-extension in Case C""; ""Chapter 4. The Invariant in Cases A, B and C"" 327 $a""1. The strategy of the calculation""""2. Evaluating [Ker(k')] in Case A""; ""3. Evaluating [Ker(k')] in Case B""; ""4. Evaluating [Ker(k')] in Case C""; ""Chapter 5. The evaluation of [M]""; ""1. The class [M] in Case A""; ""2. The class [M] in Case B""; ""3. The class [M] in Case C""; ""Chapter 6. The conjecture in Cases A, B and C""; ""1. Evaluation of [X] in Cases A, B and C""; ""2. The proof in Cases A, B and C""; ""Chapter 7. Epilogue""; ""1. Related and Subsequent Results""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 704. 606 $aGalois modules (Algebra) 606 $aQuaternions 608 $aElectronic books. 615 0$aGalois modules (Algebra) 615 0$aQuaternions. 676 $a510 s 676 $a512/.74 700 $aHooper$b Jeff$f1968-$0936056 702 $aSnaith$b Victor P$g(Victor Percy),$f1944- 702 $aTran$b Minh Van$f1963- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479989103321 996 $aThe second Chinburg conjecture for quaternion fields$92108727 997 $aUNINA