Abelian subgroups of Galois Groups

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Abstract

The author proves that every Abelian subgroup of rank > 1 in the Galois group [Equation found] of the algebraic closure of a rational function field K is contained in a ramification subgroup and also that the unramified Brauer group BrvK equals the unramified Brauer group Brv(Gc) defined in [2] §3 where Gcis the quotient group Gc= G/[[G G] G].

Original languageEnglish (US)
Pages (from-to)27-67
Number of pages41
JournalMathematics of the USSR - Izvestija
Volume38
Issue number1
DOIs
StatePublished - Feb 28 1992

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ASJC Scopus subject areas

  • Mathematics(all)

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