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- W4300706677 abstract "Let D be a finite-dimensional central division algebra over a field K. We define the genus gen(D) of D to be the collection of classes in the Brauer group of K represented by central division K-algebras D' having the same maximal subfields as D. In this paper, we describe a general approach to proving the finiteness of gen(D) and estimating its size that involves the unramified Brauer group with respect to an appropriate set of discrete valuations of K." @default.
- W4300706677 created "2022-10-04" @default.
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- W4300706677 date "2013-03-02" @default.
- W4300706677 modified "2023-10-16" @default.
- W4300706677 title "The genus of a division algebra and the unramified Brauer group" @default.
- W4300706677 doi "https://doi.org/10.48550/arxiv.1303.0390" @default.
- W4300706677 hasPublicationYear "2013" @default.
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