An elementary proof for a theorem of Thomas and Vasquez (Q1907842)
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scientific article; zbMATH DE number 844631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof for a theorem of Thomas and Vasquez |
scientific article; zbMATH DE number 844631 |
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An elementary proof for a theorem of Thomas and Vasquez (English)
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9 January 1997
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The author looks at the group of positive units in a totally real cubic field \(F\) acting on \(\mathbb{R}^3\) and gives an elementary geometric proof for the construction of a fundamental domain for this action by \textit{E. Thomas} and \textit{A. Vasquez} [Math. Ann. 247, 1-20 (1980; Zbl 0414.14021)]. Furthermore examples of class numbers are given as well as an explicit class number formula for a totally imaginary quadratic extension of \(F\).
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theorem of Thomas and Vasquez
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group of positive units
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totally real cubic field
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class number formula
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totally imaginary quadratic extension
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