Abstract
For a prime p we describe lower bounds for the highest power of p dividing each coefficient in the [p k ]-series associated to a p-typical formal group law. For the s-th coefficient, the result depends solely on the first k digits in the p-adic expansion of s(p − 1) + 1. The bounds are optimal for the universal 2-typical formal group law (p = 2) and are expected to be optimal also at odd primes. We discuss applications to the problem of finding Euclidean immersions of real and complex projective spaces and general 2-torsion lens spaces.
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