105 citations · 113 across the 4 of their papers we have counts for
4 papers
Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups
Samuel G. Benidt, William R. S. Hall, Anders O. F. Hendrickson
We consider the lattice of supercharacter theories, in the sense of Diaconis and Isaacs, of the cyclic group of order n. We find necessary and sufficient conditions on n for that l…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
Supercharacter theories and Schur rings
Anders O. F. Hendrickson
Diaconis and Isaacs have defined the supercharacter theories of a finite group to be certain approximations to the ordinary character theory of the group. We make explicit the conn…
Construction of supercharacter theories of finite groups
Anders O. F. Hendrickson
Much can be learned about a finite group from its character table, but sometimes that table can be difficult to compute. Supercharacter theories are generalizations of character th…