{"product_id":"9783540436294","title":"Springer Monographs in Mathematics","description":"\u003ch1\u003eSpringer Monographs in Mathematics\u003c\/h1\u003e \u003ch2\u003eKoch, Helmut; Lemmermeyer, F.\u003c\/h2\u003e \u003cp\u003eFirst 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2002-08-06\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540436294\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-662-04967-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 191\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44521574400140,"sku":"9783540436294","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540436294.jpg?v=1775705824","url":"https:\/\/lateknightbooks.com\/products\/9783540436294","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}