The Other Group of as Galois Extension

dc.creatorRenner, Lex E.
dc.date2008-04-25
dc.date.accessioned2026-07-07T09:35:20Z
dc.date.available2026-07-07T09:35:20Z
dc.descriptionLet $k\subseteq K$ be a finite Galois extension of fields with Galois group $G$. Let $\mathscr{G}$ be the automorphism $k$-group scheme of $K$. We construct a canonical $k$-subgroup scheme $\underline{G}\subset\mathscr{G}$ with the property that $Spec_k(K)$ is a $k$-torsor for $\underline{G}$. $\underline{G}$ is a constant $k$-group if and only if $G$ is abelian, in which case $G=\underline{G}$.
dc.identifierhttps://arxiv.org/abs/0804.4153
dc.identifierhttp://arxiv.org/abs/0804.4153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159799
dc.subjectNumber Theory
dc.subject12F10
dc.titleThe Other Group of as Galois Extension
dc.typetext

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