Supercharacter theories of dihedral groups

الأصل · EN

The set of supercharacter theories of a fixed group G forms a natural lattice. An open question in the study of supercharacter theories is to classify this lattice, and to date, this has only been done for the cyclic groups Zₙ. In this paper, we classify the supercharacter theory lattice of the dihedral groups D₂ₙ in terms of their cyclic subgroups of rotations.