Absolute Galois Group of a Semi-Local Field

Explore the fascinating world of algebraic extensions with Absolute Galois Group of a Semi-Local Field by Dan Haran. Published in 2022 by Springer Nature Switzerland AG, this insightful paperback spans 137 pages and delves into advanced topics in algebra. The book presents a significant theorem, co-proven by Haran and Florian Pop in 2012, which characterizes the absolute Galois group of distinguished semi-local algebraic extensions of the rational numbers. This groundbreaking result reveals the structure of these groups as free products of a free profinite group with countably many generators alongside local Galois groups. Ideal for mathematicians and students alike, this work is a must-have for anyone interested in the intricacies of Galois theory and its applications. Enhance your understanding of algebraic structures with this essential addition to your library.