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Title
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The residually weakly primitive geometries of the Suzuki simple group Sz(8)
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Author
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Dimitri Leemans
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Reference
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In C.M. Campbell et al. (editors), Groups St Andrews, II , London Math. Soc. Lect. Notes 261(1999), 517-526.
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Math. Reviews
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2000h:51025
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Zentralblatt
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934.51009
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Abstract
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We determine all firm and residually connected geometries on which
the group Sz(8) acts flag-transitively and residually weakly
primitively. This work was the starting point of a more ambitious work:
trying to classify all geometries of a Suzuki simple group Sz(q). The case
q = 8 which is completely determined here, is the smallest case and the only
one that is currently possible to analyse completely using the computer algebra
package Magma. The rank 2 case was classified for all q in "The Rank 2 Geometries of the Simple Suzuki Groups Sz(q)".
The results obtained in this paper rely partially on computer algebra.
A file containing all the RWPRI geometries of Sz(8) as sequences of sequences
of subgroups that can be read using Magma can be obtained by clicking
here.
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