The Schur group conjecture for the ring of integers of a number field

Nelis, Peter

doi:10.1090/S0002-9939-1992-1070529-X

The Schur group conjecture for the ring of integers of a number field
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Proc. Amer. Math. Soc. 114 (1992), 307-318 Request permission

Abstract:

If $R$ is the ring of $\mathbb {S}$ integers of a subcyclotomic number field $K$, then the Schur group conjecture asserts that the Schur group of $R$ equals the intersection of the Brauer group of $R$ and the Schur group of $K$. We prove this assertion in case $\mathbb {S}$ is the set of all Archimedian primes, i.e. when $R$ is the ring of integers of $K$.

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