Abstract
The automorphism group of a compact topological projective plane with an -dimensional point space is a locally compact group. If the dimension of is at least , then is known to be a Lie group. For the connected component of it is shown that suffices, if is semisimple or does not fix exactly a nonincident point-line pair or a double-flag. is also a Lie group, if has a compact connected -dimensional normal subgroup and .
Citation
Helmut R. Salzmann. "Groups of compact 8-dimensional planes: conditions implying the Lie property." Innov. Incidence Geom. Algebr. Topol. Comb. 17 (3) 201 - 220, 2019. https://doi.org/10.2140/iig.2019.17.201
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