Introduction to the Theory of Formal Groups  book cover
1st Edition

Introduction to the Theory of Formal Groups

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ISBN 9780824760113
Published October 1, 1973 by CRC Press
288 Pages

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Book Description

This volume, starts with the concept of C-group for any category C (with products and final object), but the author’s do not exploit it in its full generality. The book is meant to be introductory to the theory, and therefore the necessary background to its minimum possible level is minimised.

Table of Contents

Foreword -- Notations -- Chapter I DEFINITION OF FORMAL GROUPS -- §1. C-groups and C-cogroups -- §2. Formal groups and their bigebras -- §3. Elementary theory of formal groups -- Chapter II INFINITESIMAL FORMAL GROUPS -- §1. The decomposition theorem -- §2. The structure theorem for stable infinitesimal formal groups -- §3. Reduced infinitesimal formal groups -- Chapter III INFINITESIMAL COMMUTATIVE GROUPS -- §1. Generalities -- §2. Free commutative bigebras -- §3. Modules of hyperexponential vectors -- §4. Distinguished modules over a Hilbert-Wittring -- §5. The case of an algebraically closed field -- §6. Applications to commutative reduced infinitesimal groups -- Chapter IV REPRESENTABLE REDUCED INFINITESIMAL GROUPS -- Bibliography -- Index.

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Dieudonne\, Jean A.