Symmetric subgroups in modular group algebras
| dc.creator | Konovalov, A. B. | |
| dc.creator | Krivokhata, A. G. | |
| dc.date | 2008-01-05 | |
| dc.date.accessioned | 2026-07-07T08:52:49Z | |
| dc.date.available | 2026-07-07T08:52:49Z | |
| dc.description | Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as subgroups invariant under the action of the classical involution of the group algebra KG. We study properties of symmetric subgroups and construct a counterexample to the conjecture by V.Bovdi, which states that V(KG)=<G,S*>, where S* is a set of symmetric units of V(KG). | |
| dc.description | 5 pages, translated from original journal publication in Russian | |
| dc.identifier | https://arxiv.org/abs/0801.0809 | |
| dc.identifier | http://arxiv.org/abs/0801.0809 | |
| dc.identifier | Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), 20-24 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145410 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16S34; 20C05 | |
| dc.title | Symmetric subgroups in modular group algebras | |
| dc.type | text |