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Constructing Sequences of Divided Powers
1972
Proceedings of the American Mathematical Society
In my Sequences of divided powers in irreducible, cocommutative Hopf algebras, I demonstrated the existence of extensions of sequences of divided powers over arbitrary fields, if certain coheight conditions are met. Here, I show that if the characteristic of the field does not divide n, every sequence of divided powers of length n -1, in a cocommutative Hopf algebra, has an extension that can be written as a polynomial in the previous terms. (An algorithm for finding these polynomials is given,
doi:10.2307/2038507
fatcat:xyc6kwzv65hxxe3xrrpfx3iji4