Polytopes with groups of type PGL_2(q)

Dimitri Leemans, Egon Schulte

Abstract


There exists a unique regular polytope of rank at least 4 whose full automorphism group is a projective general linear group PGL2(q), q a prime power. This polytope is the 4-simplex and the corresponding group is PGL2(5) = S5.

Keywords


abstract polytopes, regular polytopes, projective linear groups

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DOI: https://doi.org/10.26493/1855-3974.102.290

ISSN: 1855-3974

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