{"product_id":"the-absolute-galois-group-of-a-semi-local-field-von-dan-haran-und-moshe-jarden","title":"The Absolute Galois Group of a Semi-Local Field","description":"\n                                \n                \u003cp\u003eThis 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.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eAdopting 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. \u003c\/p\u003e\n                                \n                \n                \u003cp\u003e The book will be of interest to researchers in field arithmetic, Galois theory and profinite groups.\u003c\/p\u003e\n                                \n                \u003cbr\u003e\n                                \n                \u003cbr\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030891930\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030891909\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783030891930","offer_id":40742044631133,"sku":"9783030891930","price":117.69,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783030891909","offer_id":39600539828317,"sku":"9783030891909","price":117.69,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/e16c578a-1199-4f25-ba20-d9215ad44d26.jpg?v=1772170938","url":"https:\/\/shop.autorenwelt.de\/products\/the-absolute-galois-group-of-a-semi-local-field-von-dan-haran-und-moshe-jarden","provider":"Autorenwelt Shop","version":"1.0","type":"link"}