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Title
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Geometries for the group PSL(3,4)
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Authors
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Harald Gottschalk and Dimitri Leemans
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Reference
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European J. Combin. 24(2003), 267-291. |
Abstract
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We classify all firm, residually connected coset geometries, on
which the group PSL(3,4) acts as a flag-transitive automorphism group fulfilling the
residually weakly primitive condition:
The stabilizer of any flag F acts primitively on the elements of some
type in the residue G_F. We demand also that every residue
of rank two satisfies the intersection property.
We give geometric constructions for all geometries obtained.
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