Projective supercharacter theory |
| |
Authors: | C. Finnegan |
| |
Affiliation: | School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland |
| |
Abstract: | AbstractThe idea of supercharacters for ordinary characters of a finite group G was introduced by Diaconis and Isaacs and further extended to Brauer characters by Chen and Lewis. The twin concepts of supercharacters and superclasses are further extended here to α-characters of G for α a complex-valued 2-cocycle of G. An α-quasi-supercharacter theory of G arises when the set of α-quasi-supercharacters of G are compatible with the set of α-regular quasi-superclasses of G. The structure of solvable groups that have exactly two α-quasi-supercharacter theories is determined.Communicated by Mark L. Lewis |
| |
Keywords: | Projective characters supercharacters superclasses |
|
|