Bounds on the number of lifts of a Brauer character in a p-solvable group
| dc.creator | Cossey, James P. | |
| dc.date | 2006-05-30 | |
| dc.date.accessioned | 2026-07-07T07:14:39Z | |
| dc.date.available | 2026-07-07T07:14:39Z | |
| dc.description | The Fong-Swan theorem shows that for a $p$-solvable group $G$ and Brauer character $ϕ\in \ibrg$, there is an ordinary character $χ\in \irrg$ such that $χ^0 = ϕ$, where $^0$ denotes restriction to the $p$-regular elements of $G$. This still holds in the generality of $π$-separable groups \cite{bpi}, where $\ibrg$ is replaced by $\ipig$. For $ϕ\in \ipig$, let $L_ϕ = \{χ\in \irrg \mid χ^0 = ϕ\}$. In this paper we give a lower bound for the size of $L_ϕ$ in terms of the structure of the normal nucleus of $ϕ$ and, if $G$ is assumed to be odd and $π= \{p' \}$, we give an upper bound for $L_ϕ$ in terms of the vertex subgroup for $ϕ$. | |
| dc.identifier | https://arxiv.org/abs/math/0605772 | |
| dc.identifier | http://arxiv.org/abs/math/0605772 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112967 | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 20C15; 20C20 | |
| dc.title | Bounds on the number of lifts of a Brauer character in a p-solvable group | |
| dc.type | text |