The L3(4) near octagon
In recent work we constructed two new near octagons, one related to the finite simple group G 2 ( 4 ) and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group L 3 ( 4 ) . We derive several g...
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| Veröffentlicht in: | Journal of algebraic combinatorics 2018, Vol.48 (1), p.157-178 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In recent work we constructed two new near octagons, one related to the finite simple group
G
2
(
4
)
and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group
L
3
(
4
)
. We derive several geometric properties of this
L
3
(
4
)
near octagon, and determine its full automorphism group. We also prove that the
L
3
(
4
)
near octagon is closely related to the second subconstituent of the distance-regular graph on 486 vertices discovered by Soicher (Eur J Combin 14:501–505,
1993
). |
|---|---|
| ISSN: | 0925-9899 1572-9192 |
| DOI: | 10.1007/s10801-017-0795-x |