Compact groups on compact projective planes |
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Authors: | Barbara Priwitzer |
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Affiliation: | (1) Mathematisches Institut, Auf der Morgenstelle 10, D-72076 Tübingen, Germany |
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Abstract: | LetP=(P, L) be a compact projective plane with 0P< and let be a compact connected subgroup of Aut(P). If dim ![PHgr](/content/rn31701792530r12/xxlarge934.gif) dimE – dimP, whereE is the elliptic motion group of the corresponding classical plane, then E or is isomorphic to a point stabilizerE0 inE, cf. [31]. Here we consider the case E0. It is shown that the action of on the point spaceP is equivalent to the classical action ofE0. For dimP {8, 16} the planeP is uniquely determined by a 2-dimensional subplane with SO2 Aut( ).Für H. Reiner Salzmann zum 65. Geburtstag |
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Keywords: | 51H10 |
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