On representations of twisted group rings
| dc.creator | Kuenzer, Matthias | |
| dc.date | 2003-01-13 | |
| dc.date.accessioned | 2026-07-07T04:54:25Z | |
| dc.date.available | 2026-07-07T04:54:25Z | |
| dc.description | We generalize certain parts of the theory of group rings to the twisted case. Let G be a finite group acting (possibly trivially) on a field L of characteristic coprime to the order of the kernel of this operation. Let K in L be the fixed field of this operation, let S be a discrete valuation ring with field of fractions K, maximal ideal generated by pi and integral closure T in L. We compute the colength of the twisted group ring T G in a maximal order in L G. Moreover, if S/pi S is finite, we compute the S/pi S- dimension of the center of T G/Jac(T G). If this quotient is split semisimple, this yields a formula for the number of simple T G-modules, generalizing Brauer's formula. | |
| dc.description | To appear in J. Group Theory | |
| dc.identifier | https://arxiv.org/abs/math/0301125 | |
| dc.identifier | http://arxiv.org/abs/math/0301125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66243 | |
| dc.subject | Representation Theory | |
| dc.subject | 16S35; 20C05 | |
| dc.title | On representations of twisted group rings | |
| dc.type | text |