Quadratic extensions of linearly compact fields
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- by Ron Brown and Hoyt D. Warner PDF
- Trans. Amer. Math. Soc. 163 (1972), 379-399 Request permission
Abstract:
A group valuation is constructed on the norm factor group of a quadratic extension of a linearly compact field, and the norm factor group is explicitly computed as a valued group. Generalizations and applications of this structure theory are made to cyclic extensions of prime degree, to square (and $p$th power) factor groups, to generalized quaternion algebras, and to quadratic extensions of arbitrary fields.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 163 (1972), 379-399
- MSC: Primary 12J20; Secondary 13A15
- DOI: https://doi.org/10.1090/S0002-9947-1972-0294307-6
- MathSciNet review: 0294307