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A characterization of
the finite Moufang hexagons by generalized homologies
Hendrik J. van Maldeghem |
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Vol. 151 (1991), No. 2, 357–367
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Abstract |
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A generalized homology of a generalized hexagon 𝒮 is an automorphism of 𝒮 fixing all points on two mutually opposite lines or fixing all lines through two mutually opposite points. We show that if 𝒮 is finite and if it admits “many” generalized homologies, then 𝒮 is Moufang and hence classical. |
Mathematical Subject Classification 2000
Primary: 51E12
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Milestones
Received: 16 April 1990
Revised: 19 November 1990
Published: 1 December 1991
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Authors |
| Hendrik J. van Maldeghem | |
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