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Title: Computations in Relative Algebraic K-Groups
Authors: Bley, WernerWilson, Stephen M. J.
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2007
Series/Report no.: Mathematische Schriften Kassel07, 08
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.
URI: urn:nbn:de:hebis:34-2008022920579
Appears in Collections:Mathematische Schriften Kassel

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