Schmidt, Alexander (2006) Circular sets of prime numbers and p-extensions of the rationals. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 596. pp. 115-130. ISSN 0075-4102,
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Let p be an odd prime number and let S be a finite set of prime numbers congruent to 1 modulo p. We prove that the group G(S)(Q)(p) has cohomological dimension 2 if the linking diagram attached to S and p satisfies a certain technical condition, and we show that G(S)(Q)(p) is a duality group in these cases. Furthermore, we investigate the decomposition behaviour of primes in the extension Q(S)(p)/Q and we relate the cohomology of G(S)(Q)(p) to the etale cohomology of the scheme Spec(Z)-S. Finally, we calculate the dualizing module.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DUALITY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Feb 2021 09:16 |
| Last Modified: | 11 Feb 2021 09:16 |
| URI: | https://pred.uni-regensburg.de/id/eprint/34364 |
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