The Schur Subgroup of the Brauer Group of Cyclotomic Rings of Integers

DOI10.2307/2047521zbMath0646.13004OpenAlexW4236619665MaRDI QIDQ3789664

Carl R. Riehm

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047521

zbMATH Keywords

finite abelian extensionBrauer groupSchur group

Mathematics Subject Classification ID

Group rings (16S34) Integral representations of finite groups (20C10) Cyclotomic extensions (11R18) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Galois cohomology (11R34)

Related Items (1)

The Schur Group Conjecture for the Ring of Integers of a Number Field

Cites Work

• The Schur group of a commutative ring
• The Schur group of cyclotomic fields
• Hereditary crossed product orders
• Separable algebras over commutative rings
• The Schur subgroup of the Brauer group
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