Groups of Ree type in characteristic 3 acting on polytopes
Abstract
Every Ree group R(q), with q ≠ 3 an odd power of 3, is the automorphism group of an abstract regular polytope, and any such polytope is necessarily a regular polyhedron (a map on a surface). However, an almost simple group G with R(q) < G ≤ Aut(R(q)) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.
Keywords
Abstract regular polytopes, string C-groups, small Ree groups, permutation groups
DOI: https://doi.org/10.26493/1855-3974.1193.0fa
ISSN: 1855-3974
Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications