Group algebras with unit group of class $p$
| dc.creator | Balogh, Zs. | |
| dc.creator | Bovdi, A. | |
| dc.date | 2005-07-18 | |
| dc.date.accessioned | 2026-07-07T05:21:47Z | |
| dc.date.available | 2026-07-07T05:21:47Z | |
| dc.description | Let V(F_pG) be the group of normalized units of the group algebra F_pG of a finite nonabelian p-group G over the field F_p of p elements. Our goal is to investigate the power structure of V(F_pG), when it has nilpotency class p. As a consequence, we have proved that if G and H are p-groups with cyclic Frattini subgroups and p>2, then V(F_pG) is isomorphic to V(F_pH) if and only if G and H are isomorphic. | |
| dc.identifier | https://arxiv.org/abs/math/0507357 | |
| dc.identifier | http://arxiv.org/abs/math/0507357 | |
| dc.identifier | Publ. Math. Debrecen 65 (2004), no. 3-4, 261-268 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75818 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16A46, 16A26, 20C05, 19A22 | |
| dc.title | Group algebras with unit group of class $p$ | |
| dc.type | text |