On the capability of finite groups of class two and prime exponent
| dc.creator | Magidin, Arturo | |
| dc.date | 2007-08-17 | |
| dc.date | 2009-01-19 | |
| dc.date.accessioned | 2026-07-07T12:30:49Z | |
| dc.date.available | 2026-07-07T12:30:49Z | |
| dc.description | We consider the capability of $p$-groups of class two and odd prime exponent. The question of capability is shown to be equivalent to a statement about vector spaces and linear transformations, and using the equivalence we give proofs of some old results and several new ones. In particular, we establish a number of new necessary and new sufficient conditions for capability, including a sufficient condition based only on the ranks of $G/Z(G)$ and $[G,G]$. Finally, we characterise the capable groups among the 5-generated groups in this class. | |
| dc.description | 43 pp; incorporates results from older paper; fix amsrefs/hyperref incompatibility and a typo | |
| dc.identifier | https://arxiv.org/abs/0708.2391 | |
| dc.identifier | http://arxiv.org/abs/0708.2391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216253 | |
| dc.subject | Group Theory | |
| dc.subject | 20D15, 20F12 | |
| dc.title | On the capability of finite groups of class two and prime exponent | |
| dc.type | text |