Follow up of my previous doubt (Finite groups as subgroups of dihedral groups) , can anyone tell me is that fact correct or not, that any finite group can be realized as a subgroup of the group of symmetries of a regular polytope?
2026-04-22 14:43:14.1776868994
Any finite group can be realized as a subgroup of the group of symmetries of a regular polytope?
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A simplex has a symmetric group as its symmetry group, and every finite group can be embedded in a symmetric group.