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Circular sets of primes of imaginary quadratic number fields

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Vogel, Denis
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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