The ring of integers of an Abelian extension of an algebraic number field as a Galois module
Copyright policy ) Vostokov, S. V.;
The ring of integers of an Abelian extension of an algebraic number field as a Galois module
The ringO of integers of a finite Abelian extension K of an algebraic number field k is studied as a module over the group ring Λ=σ[G], where σ is the ring of integers of k and G is the Galois group of K/k. It is proved that the ring σ is a decomposable Λ-module if and only if there exists in K/k an intermediate extension K/F. F≠K, whose degree divides the different.
ring of integers, Cyclotomic extensions, Galois theory, Galois module structure, Algebraic numbers; rings of algebraic integers, finite abelian extension
ring of integers, Cyclotomic extensions, Galois theory, Galois module structure, Algebraic numbers; rings of algebraic integers, finite abelian extension
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 1
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