Persistent URL of this record https://hdl.handle.net/1887/82075
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- Title pages_Contents
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- Chapter 10
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- Chapter 11
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- Bibliography
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- Summary in English
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- Summary in Dutch
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- Curriculum Vitae
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The unit residue group
We give a precise description of the unit residue groups and their virtual subgroups for some classes of number fields, including all quadratic fields. In addition we point out connections to two classical theorems on ideal class groups, namely the theorem of Armitage and Froehlich on 2-ranks and Scholz’s theorem on 3-ranks.
We also study certain subgroups of the multiplicative group of a local field that play an important role in an algorithm for computing norm-residue symbols, and group isomorphisms between the groups of quadratic characters of two number fields that preserve L-series.
- All authors
- Dalla Torre, G.
- Supervisor
- Lenstra, H.
- Committee
- Stevenhagen, P.; Luijk, R.M. van; Dvornicich, R.; Schoof, R.J.
- Qualification
- Doctor (dr.)
- Awarding Institution
- Mathematical institute , Faculty of Science , Leiden University
- Date
- 2019-12-18