Book 11

Michael D. FriedMoshe JardenApril 17, 2013

Springer Science & Business MediaProgress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?

Publisher

Springer Science & Business Media

Published on

Apr 17, 2013

Pages

460

ISBN

9783662072165

Features

Best For

Language

English

Genres

Mathematics / Algebra / Abstract

Mathematics / Algebra / General

Mathematics / Geometry / Algebraic

Mathematics / History & Philosophy

Mathematics / Logic

Content Protection

This content is DRM protected.

Report

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

You can read books purchased on Google Play using your computer's web browser.

To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. Please follow the detailed Help center instructions to transfer the files to supported eReaders.

Â©2018 GoogleSite Terms of ServicePrivacyDevelopersArtistsAbout Google|Location: United StatesLanguage: English (United States)

By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.