Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
MathSciNet review: 0291299
Full-text PDF

Abstract | References | Additional Information

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.

References [Enhancements On Off] (What's this?)

Additional Information

Keywords: Brauer group, cyclotomic, exponent, group algebra, Hasse invariant, index, prime, Schur subgroup, tamely ramified, unramified
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society