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Circular sets of primes of imaginary quadratic number fields

URN to cite this document:
urn:nbn:de:bvb:355-epub-5594
DOI to cite this document:
10.5283/epub.559
Vogel, Denis
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Date of publication of this fulltext: 05 Aug 2009 13:23

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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