Progress in Galois Theory - Proceedings of John Thompson's 70th Birthday Conference (Hardcover, 2005 ed.)


The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the 'Inverse Problem of Galois Theory'). What are the implica tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere)."

R4,482

Or split into 4x interest-free payments of 25% on orders over R50
Learn more

Discovery Miles44820
Mobicred@R420pm x 12* Mobicred Info
Free Delivery
Delivery AdviceShips in 10 - 15 working days


Toggle WishListAdd to wish list
Review this Item

Product Description

The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the 'Inverse Problem of Galois Theory'). What are the implica tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere)."

Customer Reviews

No reviews or ratings yet - be the first to create one!

Product Details

General

Imprint

Springer-Verlag New York

Country of origin

United States

Series

Developments in Mathematics, 12

Release date

November 2004

Availability

Expected to ship within 10 - 15 working days

First published

2005

Editors

,

Dimensions

235 x 155 x 11mm (L x W x T)

Format

Hardcover

Pages

168

Edition

2005 ed.

ISBN-13

978-0-387-23533-2

Barcode

9780387235332

Categories

LSN

0-387-23533-7



Trending On Loot