Primitive Characters and Permutation Characters of Solvable Groups
| dc.creator | Wilde, Tom | |
| dc.date | 2007-09-09 | |
| dc.date | 2008-08-10 | |
| dc.date.accessioned | 2026-07-07T09:55:32Z | |
| dc.date.available | 2026-07-07T09:55:32Z | |
| dc.description | Let X be an irreducible, primitive complex character of the finite solvable group G, and let X* denote the complex conjugate character. If the degree X(1) is odd, then we show how to associate to X in a unique way, a conjugacy class of subgroups U of G for which X*X = (1_U)^G, the permutation character on the cosets of U. We investigate this situation and give a number of applications to properties of primitive characters of solvable and p-solvable groups. | |
| dc.description | Attribution given for Theorem K, which it has been pointed out to me is the odd order case of a published result of P.A. Ferguson and I.M. Isaacs. A number of typos corrected, and a slight improvement made to Theorem J | |
| dc.identifier | https://arxiv.org/abs/0709.1209 | |
| dc.identifier | http://arxiv.org/abs/0709.1209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166660 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C15, 20F16 | |
| dc.title | Primitive Characters and Permutation Characters of Solvable Groups | |
| dc.type | text |