Vanishing-off subgroups and supercharacter theory products
Representation Theory
2019-04-29 v1 Group Theory
Abstract
In this paper, we study the vanishing-off subgroups of supercharacters, and use these to determine several new characterizations of supercharacter theory products. In particular, we give a character theoretic characterization that allows us to conclude that one may determine if a supercharacter theory is a -product or -product from the values of its corresponding supercharacters.
Keywords
Cite
@article{arxiv.1904.11881,
title = {Vanishing-off subgroups and supercharacter theory products},
author = {Shawn T. Burkett and Mark L. Lewis},
journal= {arXiv preprint arXiv:1904.11881},
year = {2019}
}