On Partitions of Finite vector Spaces
| dc.creator | Spera, Antonino Giorgio | |
| dc.date | 2009-02-18 | |
| dc.date.accessioned | 2026-07-07T12:43:29Z | |
| dc.date.available | 2026-07-07T12:43:29Z | |
| dc.description | In this note, we give a new necessary condition for the existence of non-trivial partitions of a finite vector space. Precisely, we prove that, if V is a finite vector space over a field of order q, then the number of the subspaces of minimum dimension t of a non-trivial partition of V is greater than or equal to q+t. Moreover, we give some extensions of a well known Beutelspacher-Heden's result on existence of T-partitions. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0902.3075 | |
| dc.identifier | http://arxiv.org/abs/0902.3075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220439 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 15A03; 05B30; 20D60 | |
| dc.title | On Partitions of Finite vector Spaces | |
| dc.type | text |