Polytopes with groups of type PGL_2(q)

Details Polytopes with groups of type PGL_2(q) Polytopes with groups of type PGL_2(q)

2009-09-10

arxiv.org/abs/0909.1991v1

Mathematics

Combinatorics

Ars Mathematica Contemporanea (to appear, 9 pages)

Scientific paper

There exists just one regular polytope of rank larger than 3 whose full
automorphism group is a projective general linear group PGL_2(q), for some
prime-power q. This polytope is the 4-simplex and the corresponding group is
PGL_2(5), which is isomorphic to S_5.

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