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The document presents a study on the Galois module structure of elementary p-abelian extensions of a field K, particularly when the Galois group Gal(K/F) is a finite p-group and the maximal pro-p quotient of the absolute Galois group of F is a free, finitely generated pro-p group. The authors establish a decomposition of the parameterizing space J(K) into a direct sum of modules, revealing significant insights into the structure of these extensions and their relation to Galois theory. The paper includes exa

Author

fpheaneas

Language

EN