Pos Groups Revisited
| dc.creator | Das, Ashish Kumar | |
| dc.date | 2009-02-20 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T12:54:43Z | |
| dc.date.available | 2026-07-07T12:54:43Z | |
| dc.description | A finite group $G$ is said to be a POS-group if for each $ x $ in $G$ the cardinality of the set $\{y \in G | o(y) =o(x)\}$ is a divisor of the order of $G$. In this paper we study some of the properties of arbitrary POS-groups, and construct a couple of new families of nonabelian POS-groups. We also prove that the alternating group $A_n$, $n \ge 3$, is not a POS-group. | |
| dc.description | 9 pages, new results and new references included | |
| dc.identifier | https://arxiv.org/abs/0902.3620 | |
| dc.identifier | http://arxiv.org/abs/0902.3620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224029 | |
| dc.subject | Group Theory | |
| dc.subject | Number Theory | |
| dc.subject | 20D60, 11A41, 11Z05 | |
| dc.title | Pos Groups Revisited | |
| dc.type | text |