The Absolute Galois Group of a Semi-Local Field (eng)
Language: English
Published by Springer, 2022
Series: Book 183 of 187 - Springer Monographs in Mathematics
- Softcover
- New
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- Title
- The Absolute Galois Group of a Semi-Local Field (eng)
- Author
- Haran, Dan
- Publisher
- Springer
- Publication year
- 2022
- Condition
- new
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3030891933
- ISBN 13
- 9783030891930
- Item weight
- 0.26 kilograms
- Series
- Book 183 of 187: 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.
"Synopsis" may belong to another edition of this title.
About the Author
Dan Haran is a professor at the School of Mathematics, Tel Aviv University, where he obtained his PhD in 1983. He was a research fellow at the Mathematical Institute in Erlangen (1983–1986), a visiting assistant professor at Rutgers (1985–1986), a senior lecturer at Tel Aviv University (1986–1991), and a fellow at the Hebrew University (1991–1992) and at the Max-Planck-Institut,Bonn (1992–1993) before joining Tel Aviv University in 1991 as an associate professor, becoming full professor in 2000. His research is in field arithmetic, Galois theory and profinite groups.
"About the title" may belong to another edition of this title.
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Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
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