Wreath products in modular group algebras of some finite 2-groups
| dc.creator | Konovalov, Alexander | |
| dc.date | 2007-04-25 | |
| dc.date.accessioned | 2026-07-07T08:51:46Z | |
| dc.date.available | 2026-07-07T08:51:46Z | |
| dc.description | Let $K$ be field of characteristic 2 and let $G$ be a finite non-abelian 2-group with the cyclic derived subgroup $G'$, and there exists a central element $z$ of order 2 in $Z(G) \backslash G'$. We prove that the unit group of the group algebra $KG$ possesses a section isomorphic to the wreath product of a group of order 2 with the derived subgroup of the group $G$, giving for such groups a positive answer to the question of A. Shalev. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3355 | |
| dc.identifier | http://arxiv.org/abs/0704.3355 | |
| dc.identifier | Acta Mathematica Academiae Paedagogiace Nyiregyhaziensis, Vol.23, No.2, 2007, p.125-127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145050 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16S34; 20C05 | |
| dc.title | Wreath products in modular group algebras of some finite 2-groups | |
| dc.type | text |