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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.

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Date of publication of this fulltext: 05 Aug 2009 13:23


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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Institutions:Mathematics > Prof. Dr. Alexander Schmidt
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:559
Owner only: item control page


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