Universal deformation rings and dihedral 2-groups
| dc.creator | Bleher, Frauke | |
| dc.date | 2007-05-07 | |
| dc.date | 2008-11-08 | |
| dc.date.accessioned | 2026-07-07T12:33:31Z | |
| dc.date.available | 2026-07-07T12:33:31Z | |
| dc.description | Let $k$ be an algebraically closed field of characteristic 2, and let $W$ be the ring of infinite Witt vectors over $k$. Suppose $D$ is a dihedral 2-group. We prove that the universal deformation ring $R(D,V)$ of an endo-trivial $kD$-module $V$ is always isomorphic to $W[\mathbb{Z}/2\times\mathbb{Z}/2]$. As a consequence we obtain a similar result for modules $V$ with stable endomorphism ring $k$ belonging to an arbitrary nilpotent block with defect group $D$. This confirms for such $V$ conjectures on the ring structure of the universal deformation ring of $V$ which had previously been shown for $V$ belonging to cyclic blocks or to blocks with Klein four defect groups. | |
| dc.description | 16 pages, 1 table | |
| dc.identifier | https://arxiv.org/abs/0705.0834 | |
| dc.identifier | http://arxiv.org/abs/0705.0834 | |
| dc.identifier | J. London Math. Soc. 79 (2009), 225-237 | |
| dc.identifier | doi:10.1112/jlms/jdn071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217151 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 20C20; 20C15; 16G10 | |
| dc.title | Universal deformation rings and dihedral 2-groups | |
| dc.type | text |