Some geometry of \(A_7\) and \(PSU_3(5^2)\) (Q1299936)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some geometry of \(A_7\) and \(PSU_3(5^2)\) |
scientific article; zbMATH DE number 1332739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some geometry of \(A_7\) and \(PSU_3(5^2)\) |
scientific article; zbMATH DE number 1332739 |
Statements
Some geometry of \(A_7\) and \(PSU_3(5^2)\) (English)
0 references
3 February 2000
0 references
Let \(K\) be a field containing the field \(GF(5^2)\). The plane collineation group \(PGL_3(K)\) has the alternating group \(A_7\) as a subgroup. The author constructs a geometry that explains this occurence of \(A_7\) and that exhibits all the maximal subgroups of \(A_7\).
0 references
Brianchon points
0 references
Clebsch hexagons
0 references
sixers
0 references
double-sixers
0 references
conics
0 references
0 references
0 references
0.8597922
0 references
0 references
0.84711915
0 references
0.84231275
0 references
0.83236986
0 references
0 references
