Articles with "galois module" as a keyword



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Galois module structure of the units modulo $$p^m$$ of cyclic extensions of degree $$p^n$$

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Published in 2022 at "manuscripta mathematica"

DOI: 10.1007/s00229-022-01385-z

Abstract: Let p be prime, and n,m ∈ N. When K/F is a cyclic extension of degree p, we determine the Z/pZ[Gal(K/F )]-module structure of K/K m . With at most one exception, each indecomposable summand… read more here.

Keywords: galois module; module; structure; module structure ... See more keywords