Supercharacter theories of dihedral groups

2016/12/20 by Jonathan Lamar, Lamar, Jonathan
Computer Science · Mathematics · #20C15 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1612.06913

openalex publication_date 2016/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ℤ_n. In this paper, we classify the supercharacter theory lattice of the dihedral groups D_2n in terms of their cyclic subgroups of rotations.

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