{"product_id":"the-absolute-galois-group-of-a-semi-local-field","title":"The Absolute Galois Group of a Semi-local Field","description":"\u003ch3 data-start=\"62\" data-end=\"85\"\u003e📘 \u003cstrong data-start=\"69\" data-end=\"85\"\u003eBook Details\u003c\/strong\u003e\n\u003c\/h3\u003e\n\u003cul data-start=\"87\" data-end=\"321\"\u003e\n\u003cli data-start=\"87\" data-end=\"112\"\u003e\n\u003cp data-start=\"89\" data-end=\"112\"\u003e\u003cstrong data-start=\"89\" data-end=\"100\"\u003eAuthor:\u003c\/strong\u003e Dan Haran\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"113\" data-end=\"140\"\u003e\n\u003cp data-start=\"115\" data-end=\"140\"\u003e\u003cstrong data-start=\"115\" data-end=\"129\"\u003ePublisher:\u003c\/strong\u003e Springer\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"141\" data-end=\"166\"\u003e\n\u003cp data-start=\"143\" data-end=\"166\"\u003e\u003cstrong data-start=\"143\" data-end=\"156\"\u003eLanguage:\u003c\/strong\u003e English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"167\" data-end=\"196\"\u003e\n\u003cp data-start=\"169\" data-end=\"196\"\u003e\u003cstrong data-start=\"169\" data-end=\"181\"\u003eEdition:\u003c\/strong\u003e 2021 Edition\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"197\" data-end=\"224\"\u003e\n\u003cp data-start=\"199\" data-end=\"224\"\u003e\u003cstrong data-start=\"199\" data-end=\"208\"\u003eISBN:\u003c\/strong\u003e 9783030891930\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"225\" data-end=\"253\"\u003e\n\u003cp data-start=\"227\" data-end=\"253\"\u003e\u003cstrong data-start=\"227\" data-end=\"247\"\u003eNumber of Pages:\u003c\/strong\u003e 137\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"254\" data-end=\"278\"\u003e\n\u003cp data-start=\"256\" data-end=\"278\"\u003e\u003cstrong data-start=\"256\" data-end=\"266\"\u003eCover:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"279\" data-end=\"321\"\u003e\n\u003cp data-start=\"281\" data-end=\"321\"\u003e\u003cstrong data-start=\"281\" data-end=\"296\"\u003eDimensions:\u003c\/strong\u003e 9.2 x 6.1 x 0.5 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-start=\"323\" data-end=\"326\"\u003e\n\u003ch3 data-start=\"328\" data-end=\"353\"\u003e📝 \u003cstrong data-start=\"335\" data-end=\"353\"\u003eAbout the Book\u003c\/strong\u003e\n\u003c\/h3\u003e\n\u003cp data-start=\"355\" data-end=\"751\"\u003e\u003cem data-start=\"355\" data-end=\"428\"\u003eThe Structure of Absolute Galois Groups of Certain Algebraic Extensions\u003c\/em\u003e by Dan Haran is a highly specialized book focused on the structure of the absolute Galois groups of algebraic extensions of the rational numbers. Published by Springer on November 21, 2022, this 137-page paperback is an essential read for researchers in the fields of Galois theory, field arithmetic, and profinite groups.\u003c\/p\u003e\n\u003cp data-start=\"753\" data-end=\"1173\"\u003eThe book’s main result, a theorem co-authored by Haran and Florian Pop in 2012, provides a detailed description of the absolute Galois group of distinguished semi-local algebraic extensions of the rational numbers. It characterizes this group as a free product of the free profinite group on countably many generators and local Galois groups, answering the generalized inverse problem of Galois theory in a positive way.\u003c\/p\u003e\n\u003cp data-start=\"1175\" data-end=\"1576\"\u003eThe book adopts both an arithmetic and probabilistic approach, meticulously setting out the preliminary material necessary to prove the main theorem and its supporting results. Additionally, it introduces Melnikov's construction of free products of profinite groups and presents, for the first time in book form, a generalization of the theory of free products of profinite groups and their subgroups.\u003c\/p\u003e\n\u003cp data-start=\"1578\" data-end=\"1808\"\u003eThis work is a valuable resource for researchers and academics in field arithmetic, Galois theory, and profinite groups who seek an in-depth understanding of the structure of Galois groups and the latest advancements in the field.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":49966175813936,"sku":"Sarat_9783030891930","price":8400.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/springer-book-default-title-the-absolute-galois-group-of-a-semi-local-field-41352327659824.jpg?v=1775959862","url":"https:\/\/www.retailmaharaj.com\/products\/the-absolute-galois-group-of-a-semi-local-field","provider":"Retail Maharaj","version":"1.0","type":"link"}