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  §3 where Gcis the quotient group Gc= G/[[G G] G].
|Original language||English (US)|
|Number of pages||41|
|Journal||Mathematics of the USSR - Izvestija|
|State||Published - Feb 28 1992|
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