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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

More on the Schur subgroup


Author: Murray M. Schacher
Journal: Proc. Amer. Math. Soc. 31 (1972), 15-17
DOI: https://doi.org/10.1090/S0002-9939-1972-0291299-6
MathSciNet review: 0291299
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Abstract: Let $ k$ be an abelian extension of the rational field $ Q$. We show Schur's subgroup $ S(k)$ of the Bauer group $ B(k)$ is usually of infinite index. Generators for $ p$-torsion elements of $ S(k)$ are found when $ k$ is the cyclotomic field of $ p$th roots of unity.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0291299-6
Keywords: Brauer group, cyclotomic, exponent, group algebra, Hasse invariant, index, prime, Schur subgroup, tamely ramified, unramified
Article copyright: © Copyright 1972 American Mathematical Society