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- W2046673059 abstract "Let $K$ be a finite abelian extension of the rational numbers $mathbb {Q}$. Let ${mathbf {S}}$ be a finite set of primes of $K$ including the infinite ones, and let $mathfrak {o}$ be the ring of ${mathbf {S}}$-integers in $K$. Then the Schur subgroup $S(mathfrak {o})$ of the Brauer group $B(mathfrak {o})$ is defined, in analogy with $S(K)$, via representations of finite groups on finitely generated projective $mathfrak {o}$-modules. It is easy to see that $S(mathfrak {o}) subseteq S(K) cap B(mathfrak {o})$. We shall show that there is equality in the case of $K$ a purely cyclotomic extension $mathbb {Q}({varepsilon _m})$ of $mathbb {Q}$ (where ${varepsilon _m}$ is an $m$th root of 1)." @default.
- W2046673059 created "2016-06-24" @default.
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- W2046673059 date "1988-01-01" @default.
- W2046673059 modified "2023-09-27" @default.
- W2046673059 title "The Schur subgroup of the Brauer group of cyclotomic rings of integers" @default.
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- W2046673059 doi "https://doi.org/10.1090/s0002-9939-1988-0938638-x" @default.
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