**AMS Chelsea Publishing**

Volume: 375;
2012;
573 pp;
Hardcover

MSC: Primary 14;
Secondary 16; 05; 11; 12; 13; 55

Print ISBN: 978-0-8218-5349-8

Product Code: CHEL/375.H

List Price: $72.00

Individual Member Price: $64.80

**Electronic ISBN: 978-0-8218-9400-2
Product Code: CHEL/375.H.E**

List Price: $72.00

Individual Member Price: $57.60

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#### Supplemental Materials

# Formal Groups and Applications

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*Michiel Hazewinkel*

This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.

#### Table of Contents

# Table of Contents

## Formal Groups and Applications

- Cover Cover11
- Title page iii4
- Dedication v6
- Contents vii8
- Preface to the corrected printing xi12
- Preface xiii14
- Leitfaden and indicien xv16
- Introduction xix20
- Methods for constructing one dimensional formal groups 128
- Methods for constructing higher dimensional formal group laws 5178
- Curves, 𝑝-typical formal group laws, and lots of Witt vectors 91118
- Homomorphisms, endomorphisms, and the classification of formal groups by power series methods 147174
- Cartier-Dieudonné modules 312339
- Applications of formal groups in algebraic topology, number theory, and algebraic geometry 427454
- Formal groups and bialgebras 478505
- Appendix A. On power series rings 517544
- Appendix B. Brief notes on further applications of formal group (law) theory 523550
- Bibliography 531558
- Notation 551578
- Index 567594
- Back Cover Back Cover1602

#### Readership

Graduate students and research mathematicians interested in formal groups and their applications in other areas of mathematics.