An Enumeration of the Supercharacter Theories of C p × C 2 × C 2 for Prime p

@inproceedings{Lang2017AnEO,
  title={An Enumeration of the Supercharacter Theories of C p × C 2 × C 2 for Prime p},
  author={Alexander Lang},
  year={2017}
}
The supercharacter theories of Cp×C2×C2 were classified in the language of Schur rings by Evdokimov, Kovacs, and Ponomarenko in (EKP16). It was shown that every nontrivial supercharacter theory of Cp×C2×C2 can be constructed as a wedge product, a direct product, or is generated by automorphisms. We use this classification to give a precise count of the distinct supercharacter theories of Cp × C2 × C2 and describe when a supercharacter theory can be constructed by more than one method. We also… CONTINUE READING