Division algebras over C2- and C3-fields

Louis H. Rowen

doi:10.1090/S0002-9939-01-06277-3

Division algebras over C₂- and C₃-fields

Louis H. Rowen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Using elementary methods we prove a theorem of Rost, Serre, and Tignol that any division algebra of degree 4 over a C₃-field containing √-1 is cyclic. our methods also show any division algebra of degree 8 over a C₂-field Containing 4√-1 is cyclic.

Original language	English
Pages (from-to)	1607-1610
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-01-06277-3
State	Published - 2002

Keywords

C-field
Cyclic
Division algebra

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10.1090/S0002-9939-01-06277-3

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title = "Division algebras over C2- and C3-fields",

abstract = "Using elementary methods we prove a theorem of Rost, Serre, and Tignol that any division algebra of degree 4 over a C3-field containing √-1 is cyclic. our methods also show any division algebra of degree 8 over a C2-field Containing 4√-1 is cyclic.",

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AB - Using elementary methods we prove a theorem of Rost, Serre, and Tignol that any division algebra of degree 4 over a C3-field containing √-1 is cyclic. our methods also show any division algebra of degree 8 over a C2-field Containing 4√-1 is cyclic.

KW - C-field

KW - Cyclic

KW - Division algebra

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Division algebras over C₂- and C₃-fields

Abstract

Keywords

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