K_0 and the dimension filtration for p-torsion Iwasawa modules
| dc.creator | Ardakov, Konstantin | |
| dc.creator | Wadsley, Simon | |
| dc.date | 2006-11-01 | |
| dc.date.accessioned | 2026-07-07T07:32:26Z | |
| dc.date.available | 2026-07-07T07:32:26Z | |
| dc.description | Let G be a compact p-adic analytic group. We study K-theoretic questions related to the representation theory of the completed group algebra kG of G with coefficients in a finite field k of characteristic p. We show that if M is a finitely generated kG-module whose dimension is smaller than the dimension of the centralizer of any p-regular element of G, then the Euler characteristic of M is trivial. Writing F_i for the abelian category consisting of all finitely generated kG-modules of dimension at most i, we provide an upper bound for the rank of the natural map from the Grothendieck group of F_i to that of F_d, where d denotes the dimension of G. We show that this upper bound is attained in some special cases, but is not attained in general. | |
| dc.identifier | https://arxiv.org/abs/math/0611037 | |
| dc.identifier | http://arxiv.org/abs/math/0611037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119110 | |
| dc.subject | Representation Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 11R23; 16S35; 19A31; 20C20 | |
| dc.title | K_0 and the dimension filtration for p-torsion Iwasawa modules | |
| dc.type | text |