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Circular sets of primes of imaginary quadratic number fields
Vogel, Denis (2006) Circular sets of primes of imaginary quadratic number fields. Preprintreihe der Fakultät Mathematik 13/2006, Working Paper, Regensburg.Date of publication of this fulltext: 05 Aug 2009 13:23
Monograph
DOI to cite this document: 10.5283/epub.559
Abstract
Let p be an odd prime number and let K be an imaginary
quadratic number field whose class number is not divisible by p. For a set S of primes of K whose norm is congruent to 1 modulo p, we introduce the notion of strict circularity. We show that if S is strictly circular, then the group G(KS(p)=K) is of cohomological dimension 2 and give some explicit examples.
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Details
| Item type | Monograph (Working Paper) |
| Place of Publication: | Regensburg |
|---|---|
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
| Volume: | 13/2006 |
| Date | 2006 |
| Institutions | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Alexander Schmidt |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unknown |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-5594 |
| Item ID | 559 |
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