Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / Stephen S. Shatz.

Format:

Book

Author/Creator:

Shatz, Stephen S., author.

Series:

Annals of mathematics studies ; Number 67.

Annals of Mathematics Studies ; 249

Language:

English

Subjects (All):

Homology theory.

Finite groups.

Algebraic number theory.

Physical Description:

1 online resource (265 pages).

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.

Contents:

Frontmatter

PREFACE

CONTENTS

CHAPTER I. PROFINITE GROUPS

CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS

CHAPTER III. COHOMOLOGICAL DIMENSION

CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY

CHAPTER V. LOCAL CLASS FIELD THEORY

CHAPTER VI. DUALITY

BIBLIOGRAPHY

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881857

1400881854

OCLC:

979580913