{"product_id":"galois-theory-of-p-extensions-von-helmut-koch","title":"Galois Theory of p-Extensions","description":"First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English. After introducing the theory of pro-p groups and their cohomology, it discusses presentations of the Galois groups G S of maximal \u003ci\u003ep\u003c\/i\u003e-extensions of number fields that are unramified outside a given set S of primes. It computes generators and relations as well as the cohomological dimension of some G S, and gives applications to infinite class field towers.The book demonstrates that the cohomology of groups is very useful for studying Galois theory of number fields; at the same time, it offers a down to earth introduction to the cohomological method. In a \"Postscript\" Helmut Koch and Franz Lemmermeyer give a survey on the development of the field in the last 30 years. Also, a list of additional, recent references has been included.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642078170\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540436294\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783642078170","offer_id":39428322099293,"sku":"9783642078170","price":128.39,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783540436294","offer_id":51344380742,"sku":"9783540436294","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/69253e5f-4745-4978-996f-4854298f476f.jpg?v=1774678883","url":"https:\/\/shop.autorenwelt.de\/products\/galois-theory-of-p-extensions-von-helmut-koch","provider":"Autorenwelt Shop","version":"1.0","type":"link"}