Geometries of the Group PSL(2,11) |
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Authors: | Francis Buekenhout Philippe Cara Koen Vanmeerbeek |
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Institution: | (1) Université Libre de Bruxelles, Brussels, Belgium.;(2) Vrije Universiteit Brussel, Brussels, Belgium.;(3) Vrije Universiteit Brussel, Brussels, Belgium. |
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Abstract: | We determine all residually weakly primitive flag-transitive geometries for the groups PSL(2,11) and PGL(2,11). For the first of these we prove the existence by simple constructions while uniqueness, namely the fact that the lists are complete, relies on MAGMA programs. A central role is played by the subgroups Alt(5) in PSL(2,11). The highest rank of a geometry in our lists is four. Our work is related to various atlases of coset geometries. |
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Keywords: | 2-design diagram geometry group PSL(2 11) coset geometry |
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