Circular sets of prime numbers and p-extension of the rationals
| dc.creator | Schmidt, Alexander | |
| dc.date | 2005-04-26 | |
| dc.date | 2006-02-05 | |
| dc.date.accessioned | 2026-07-07T06:39:51Z | |
| dc.date.available | 2026-07-07T06:39:51Z | |
| dc.description | 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. | |
| dc.description | Corrected some typos | |
| dc.identifier | https://arxiv.org/abs/math/0504534 | |
| dc.identifier | http://arxiv.org/abs/math/0504534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101231 | |
| dc.subject | Number Theory | |
| dc.subject | Group Theory | |
| dc.subject | 11R34; 12G10 | |
| dc.title | Circular sets of prime numbers and p-extension of the rationals | |
| dc.type | text |