Computations in the mod 2 Lazard ring

by Markus Rost (Preprint, March 2000, 11 pages)

This text contains purely algebraic considerations in the mod 2 Lazard ring L. We define the Steenrod operations on L and prove a vanishing property for them. We apply this to obtain the canonical logarithm of the universal mod 2 Lazard formal group law. This approach does not involve the usual game with binomial coefficients.

This text is preliminary in a manifold sense: We only define the logarithm, but do not describe it in more detail. Missing are also the Landweber-Novikov operations. The geometric analogies of the material are only mentioned partially in some side remarks. No attempt has been made on the mod p-analogies.

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