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Full-Text Articles in Algebra
Polytopes Of Large Rank For Psl(4,Q), Peter A. Brooksbank, Dimitri Leemans
Polytopes Of Large Rank For Psl(4,Q), Peter A. Brooksbank, Dimitri Leemans
Faculty Journal Articles
This paper examines abstract regular polytopes whose automorphism group is the projective special linear group PSL(4,q). For q odd we show that polytopes of rank 4 exist by explicitly constructing PSL(4,q) as a string C-group of that rank. On the other hand, we show that no abstract regular polytope exists whose group of automorphisms is PSL(4,2k).