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Kummer congruences in formal groups and algebraic groups of dimension one. (English) Zbl 0578.14041
The author relates the existence of Kummer-type congruences for the coefficients of a power series $$f(t)$$ to the existence of congruences among the coefficients of the invariant differential on a 1-dimensional formal group deduced from $$f(t)$$. He then shows how Kummer-type congruences arise from rational functions on algebraic curves.
Reviewer: F.Baldassarri

MSC:
 14L05 Formal groups, $$p$$-divisible groups 13F25 Formal power series rings
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