Introduction to the Theory of Formal Groups

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.