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Title
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An Atlas of Residually Weakly Primitive Geometries for Small Groups
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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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Acad. roy. Belgique, Mem. Cl. Sci., Col. 8, Ser. 3, Tome XIV(1999), 175 pp.
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Math. Reviews
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not available yet
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Zentralblatt
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923.51009
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Abstract
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Using a series of CAYLEY programs, we get all firm, residually connected
geometries whose rank 2 residues satisfy the intersection property and on which
a "small" flag-transitive group G is acting in such a way that for each flag
F, the stabilizer G(F) acts primitively on the elements of some type, in the
residue of F.
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Errata
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Geometries of Alt(7)
There are two non-conjugate geometries like number 3 of rank 3.
In rank 4, geometries 6, 9 and 11 are (2T)_1.
In the diagram of geometry 11 of rank 4, reverse the two c's.
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