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The absolute Galois group of a semi-...

Haran, Dan.

The absolute Galois group of a semi-local field

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The absolute Galois group of a semi-local fieldby Dan Haran, Moshe Jarden.
作者:	Haran, Dan.
其他作者:	Jarden, Moshe.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xvi, 137 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Galois theory.
電子資源:	https://doi.org/10.1007/978-3-030-89191-6
ISBN:	9783030891916$q(electronic bk.)

The absolute Galois group of a semi-local field
Haran, Dan.

The absolute Galois group of a semi-local field[electronic resource] /by Dan Haran, Moshe Jarden. - Cham :Springer International Publishing :2021. - xvi, 137 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

This 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 field arithmetic, Galois theory and profinite groups.

ISBN: 9783030891916$q(electronic bk.)

Standard No.: 10.1007/978-3-030-89191-6doiSubjects--Topical Terms:

190982
Galois theory.

LC Class. No.: QA214 / .H37 2021

Dewey Class. No.: 512.32

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