Restriction of characters and products of characters
| dc.creator | Adan-Bante, Edith | |
| dc.date | 2007-07-27 | |
| dc.date.accessioned | 2026-07-07T08:20:52Z | |
| dc.date.available | 2026-07-07T08:20:52Z | |
| dc.description | Let G be a finite p-group, for some prime p, and $ψ, θ\in \Irr(G)$ be irreducible complex characters of G. It has been proved that if, in addition, $ψ,θ$ are faithful characters, then the product $ψθ$ is a multiple of an irreducible or it is the nontrivial linear combination of at least $\frac{p+1}{2}$ distinct irreducible characters of G. We show that if we do not require the characters to be faithful, then given any integer k>0, we can always find a p-group G and irreducible characters $Ψ$ and $Θ$ such that $ΨΘ$ is the nontrivial combination of exactly k distinct irreducible characters. We do this by translating examples of decompositions of restrictions of characters into decompositions of products of characters. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0707.4184 | |
| dc.identifier | http://arxiv.org/abs/0707.4184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135195 | |
| dc.subject | Group Theory | |
| dc.subject | 20c15 | |
| dc.title | Restriction of characters and products of characters | |
| dc.type | text |