Cohomology, fusion and a p-nilpotency criterion
| dc.creator | Gonzalez-Sanchez, Jon | |
| dc.date | 2009-04-16 | |
| dc.date | 2009-04-16 | |
| dc.date.accessioned | 2026-07-07T13:05:03Z | |
| dc.date.available | 2026-07-07T13:05:03Z | |
| dc.description | Let G be a finite group, p a fixed prime and P a Sylow p-subgroup of G. In this short note we prove that if p is odd, G is p-nilpotent if and only if P controls fusion of cyclic groups of order p. For the case p=2, we show that G is p-nilpotent if and only if P controls fusion of cyclic groups of order 2 and 4. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0904.2503 | |
| dc.identifier | http://arxiv.org/abs/0904.2503 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227376 | |
| dc.subject | Group Theory | |
| dc.subject | 20D15; 20J06 | |
| dc.title | Cohomology, fusion and a p-nilpotency criterion | |
| dc.type | text |