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Title
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On Flag-Transitive Incidence Geometries of Rank 6 for the Mathieu
Group M(12)
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Authors
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Francis Buekenhout, Michel Dehon and Dimitri Leemans
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Reference
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In L. Di Martino, W.E. Kantor, G. Lunardon, A. Pasini (editors), Groups and Geometries, Birkhauser, 1998, 39-54.
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Math. Reviews
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99m:51017
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Zentralblatt
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899.51006
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Abstract
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We show that the Mathieu group M(12) does not have geometries of rank greater or equal to 6, satisfying the RWPRI and (IP)_2 conditions.
Our proof of this result is based on classifications of geometries of some subgroups of M(12) which have been obtained using MAGMA programs.
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