LEADER 02400nas 2200745-a 450 001 996204887503316 005 20230814213019.0 011 $a1468-2680 035 $a(DE-599)ZDB2009008-0 035 $a(OCoLC)48058473 035 $a(CKB)963017794231 035 $a(CONSER)--2002238604 035 $a(EXLCZ)99963017794231 100 $a20011001a19989999 --- - 101 0 $aeng 135 $aurmn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSocial science Japan journal 210 $aOxford, UK $cOxford University Press$d1998- 300 $aRefereed/Peer-reviewed 311 $a1369-1465 517 1 $aSSJJ 517 1 $aSSJ journal 531 $aSOC SCI JPN J 531 $aSOC. SCI. JPN. J 531 00$aSoc sci Jpn res 531 0 $aSoc. sci. Jpn. j. 606 $aSocial sciences$xResearch$zJapan$vPeriodicals 606 $aLaw$zJapan$vPeriodicals 606 $aEconomic history$2fast$3(OCoLC)fst00901974 606 $aLaw$2fast$3(OCoLC)fst00993678 606 $aPolitics and government$2fast$3(OCoLC)fst01919741 606 $aSocial conditions$2fast$3(OCoLC)fst01919811 606 $aSocial sciences$xResearch$2fast$3(OCoLC)fst01122944 606 $aÉtudes japonaises$2rasuqam 606 $aSciences sociales$2rasuqam 607 $aJapan$xSocial conditions$vPeriodicals 607 $aJapan$xHistory$y20th century$vPeriodicals 607 $aJapan$xEconomic conditions$vPeriodicals 607 $aJapan$xPolitics and government$vPeriodicals 607 $aJapan$2fast 607 $aJapon$2rasuqam 608 $aInternet resource. 608 $aHistory.$2fast 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 608 $aPériodique électronique (Descripteur de forme)$2rasuqam 608 $aRessource Internet (Descripteur de forme)$2rasuqam 615 0$aSocial sciences$xResearch 615 0$aLaw 615 7$aEconomic history. 615 7$aLaw. 615 7$aPolitics and government. 615 7$aSocial conditions. 615 7$aSocial sciences$xResearch. 615 7$aÉtudes japonaises. 615 17$aSciences sociales. 676 $a306.09 712 02$aT?ky? Daigaku.$bShakai Kagaku Kenky?jo. 906 $aJOURNAL 912 $a996204887503316 996 $aSocial Science Japan Journal$91321034 997 $aUNISA LEADER 03233nam 22006375 450 001 9910510575803321 005 20251113182642.0 010 $a3-030-89191-7 024 7 $a10.1007/978-3-030-89191-6 035 $a(CKB)5100000000115915 035 $a(MiAaPQ)EBC6858812 035 $a(Au-PeEL)EBL6858812 035 $a(PPN)259385468 035 $a(OCoLC)1287922823 035 $a(DE-He213)978-3-030-89191-6 035 $a(EXLCZ)995100000000115915 100 $a20211119d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Absolute Galois Group of a Semi-Local Field /$fby Dan Haran, Moshe Jarden 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (147 pages) 225 1 $aSpringer Monographs in Mathematics,$x2196-9922 311 08$a3-030-89190-9 320 $aIncludes bibliographical references and index. 327 $a- Introduction -- 1. Topologies -- 2. Families of Subgroups -- 3. Free Products of Finitely Many Profinite Groups -- 4. Generalized Free Products.-5. Relative Embedding Problems -- 6. Strong Proper Projectivity -- 7. Étale Profinite Subset of Subgr(G) -- 8. Fundamental Result -- 9. Main Result. Bibliography -- Index. 330 $aThis book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of distinguished semi-local algebraic (and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois groups. This is an instance of a positive answer to the generalized inverse problem of Galois theory. Adopting both an arithmetic and probabilistic approach, the book carefully sets out the preliminary material needed to prove the main theorem and its supporting results. In addition, it includes a description of Melnikov's construction of free products of profinite groups and, for the first time in book form, an account of a generalization of the theory of free products of profinite groups and their subgroups. The book will be of interest to researchers in fieldarithmetic, Galois theory and profinite groups. 410 0$aSpringer Monographs in Mathematics,$x2196-9922 606 $aAlgebra 606 $aAlgebraic geometry 606 $aAlgebraic fields 606 $aPolynomials 606 $aAlgebra 606 $aAlgebraic Geometry 606 $aField Theory and Polynomials 615 0$aAlgebra. 615 0$aAlgebraic geometry. 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 14$aAlgebra. 615 24$aAlgebraic Geometry. 615 24$aField Theory and Polynomials. 676 $a512.32 700 $aHaran$b Dan$0865027 702 $aJarden$b Moshe 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910510575803321 996 $aThe absolute Galois group of a semi-local field$92786315 997 $aUNINA