Introduction to the Theory of Formal Groups

Dieudonne/, Jean A.

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.