Computations in Relative Algebraic K-Groups
| dc.date.accessioned | 2008-02-29T09:38:19Z | |
| dc.date.available | 2008-02-29T09:38:19Z | |
| dc.date.issued | 2007 | |
| dc.identifier.uri | urn:nbn:de:hebis:34-2008022920579 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2008022920579 | |
| dc.format.extent | 366580 bytes | |
| dc.format.extent | 155155 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.rights | Urheberrechtlich geschützt | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Relative algebraic K-groups of integral group rings | eng |
| dc.subject.ddc | 510 | |
| dc.title | Computations in Relative Algebraic K-Groups | eng |
| dc.type | Preprint | |
| dcterms.abstract | Let G be finite group and K a number field or a p-adic field with ring of integers O_K. In the first part of the manuscript we present an algorithm that computes the relative algebraic K-group K_0(O_K[G],K) as an abstract abelian group. We solve the discrete logarithm problem, both in K_0(O_K[G],K) and the locally free class group cl(O_K[G]). All algorithms have been implemented in MAGMA for the case K = \IQ. In the second part of the manuscript we prove formulae for the torsion subgroup of K_0(\IZ[G],\IQ) for large classes of dihedral and quaternion groups. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Bley, Werner | |
| dcterms.creator | Wilson, Stephen M. J. | |
| dcterms.isPartOf | Mathematische Schriften Kassel ;; 07, 08 | ger |
| dc.subject.msc | 19A99 | eng |
| dc.subject.msc | 19F99 | eng |
| dc.subject.msc | 19B28 | eng |
| dcterms.source.journal | Mathematische Schriften Kassel | ger |
| dcterms.source.volume | 07, 08 |
