Normal subgroups of odd-order monomial $p^a q^b$ groups
| dc.creator | Loukaki, Maria | |
| dc.date | 2004-12-19 | |
| dc.date.accessioned | 2026-07-07T06:25:47Z | |
| dc.date.available | 2026-07-07T06:25:47Z | |
| dc.description | A finite group $G$ is called monomial if every irreducible character of $G$ is induced from a linear character of some subgroup of $G$. One of the main questions regarding monomial groups is whether or not a normal subgroup $N$ of a monomial group $G$ is itself monomial. In the case that $G$ is a group of even order, it has been proved (Dade, van der Waall) that $N$ need not be monomial. Here we show that, if $G$ is a monomial group of order $p^aq^b$, where $p$ and $q$ are distinct odd primes, then any normal subgroup $N$ of $G$ is also monomial. | |
| dc.description | PhD Thesis, Univ. of Illinois 2001, advisor E. Dade | |
| dc.identifier | https://arxiv.org/abs/math/0412386 | |
| dc.identifier | http://arxiv.org/abs/math/0412386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96928 | |
| dc.subject | Group Theory | |
| dc.title | Normal subgroups of odd-order monomial $p^a q^b$ groups | |
| dc.type | text |