In the context of configurational characterisations of symmetric projective planes, a new proof of a theorem of Kallaher and Ostrom characterising planes of even order of Lenz-Barlotti type IV.a.2 via Bol conditions is given. In contrast to their proof, we need neither the Feit-Thompson theorem on solvability of groups of odd order, nor Bender’s strongly embedded subgroup theorem, depending rather on Glauberman’s Z^∗- theorem.
Bol quasifields
Alessandro Siciliano
2020-01-01
Abstract
In the context of configurational characterisations of symmetric projective planes, a new proof of a theorem of Kallaher and Ostrom characterising planes of even order of Lenz-Barlotti type IV.a.2 via Bol conditions is given. In contrast to their proof, we need neither the Feit-Thompson theorem on solvability of groups of odd order, nor Bender’s strongly embedded subgroup theorem, depending rather on Glauberman’s Z^∗- theorem.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
33tpas.pdf
accesso aperto
Licenza:
Versione editoriale
Dimensione
123.25 kB
Formato
Adobe PDF
|
123.25 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
