Publication Date
2016
Description
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).
Journal
Journal of Algebra
Volume
452
First Page
390
Last Page
400
Department
Mathematics
Link to Published Version
http://www.sciencedirect.com/science/article/pii/S0021869316000259
Recommended Citation
Brooksbank, Peter A. and Leemans, Dimitri. "Polytopes of Large Rank for PSL(4,q)." Journal of Algebra (2016) : 390-400.
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