Journal of Lie Theory

no. 4
Classification of 8-Dimensional Compact Projective Planes
Journal of Lie Theory, Volume 20 (2010) no. 4, pp. 689-708
Let $\cal P$ be a compact, $8$-dimensional projective plane and $\Delta$ a connected closed subgroup of Aut$\,{\cal P}$. If $\Delta$ is semi-simple or has a normal torus subgroup, and if $\dim\Delta > 13$, then $\cal P$ is a Hughes plane.
DOI: 10.5802/jolt.615
Classification: 51H10
Keywords: Compact projective planes, Lie collineation group, Hughes plane, Baer subplane 
@article{JOLT_2010_20_4_a4,
     author = {H. R. Salzmann},
     title = {Classification of {8-Dimensional} {Compact} {Projective} {Planes}},
     journal = {Journal of Lie Theory},
     pages = {689--708},
     year = {2010},
     volume = {20},
     number = {4},
     doi = {10.5802/jolt.615},
     zbl = {1228.51012},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.615/}
}
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H. R. Salzmann. Classification of 8-Dimensional Compact Projective Planes. Journal of Lie Theory, Volume 20 (2010) no. 4, pp. 689-708. doi: 10.5802/jolt.615

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