Geodesic
8-Dimensional Compact Planes with an Automorphism Group which has a Normal Vector Subgroup
Helmut Salzmann1
1Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
Journal of Lie Theory, Tome 24 (2014) no. 1, pp. 123-146

Voir la notice de l'article provenant de la source Heldermann Verlag

A connected group Δ of automorphisms of an 8-dimensional compact plane P fixes at most some collinear points or 2 points and 2 lines (double flag). For each possible configuration of fixed elements of a group of sufficiently large dimension the structure of Δ and its action on P is determined. Examples are given; in the case of a double flag, all planes are described explicitly.
Classification : 51H10
Mots-clés : Compact projective plane, Lie collineation group, elation, straight, dimension

Helmut Salzmann  1

1 Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany 
Helmut Salzmann. 8-Dimensional Compact Planes with an Automorphism Group which has a Normal Vector Subgroup. Journal of Lie Theory, Tome 24 (2014) no. 1, pp. 123-146. http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a5/
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     author = {Helmut Salzmann},
     title = {8-Dimensional {Compact} {Planes} with an {Automorphism} {Group} which has a {Normal} {Vector} {Subgroup}},
     journal = {Journal of Lie Theory},
     pages = {123--146},
     year = {2014},
     volume = {24},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_1_a5/}
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