The purpose of this section is to illustrate how the results of this paper can be used to construct commutative and cocommutative Hopf algebras over valuation rings of local fields and thus shed light on the construction of finite abelian group sche…
The purpose of this section is to provide an example of a particularly natural scaffold (with precision c=∞) in the setting of purely inseparable extensions, and since the results of §3 are therefore applicable, submit the topic of generalized Galoi…
In this section, we determine necessary conditions for a Galois scaffold to exist when p=2,3. Assuming the case p=3 to be representative of the general case, p odd, our results suggest that the conditions in Theorem 2.1 are sharp.
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