Abstract
In this paper we interpret the solutions to a particular Galois embedding problem over an extension K/F satisfying Gal(K/F) ≃ Z/p n Z in terms of certain Galois submodules within the parameterizing space of elementary p-abelian extensions of K; here p is a prime. Combined with some basic facts about the module structure of this param- eterizing space, this allows us to exhibit a class of p-groups whose realization multiplicity is unbounded.
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