Induction of Characters and Finite $p$-Groups

dc.creatorAdan-Bante, Edith
dc.date2005-07-16
dc.date2005-08-03
dc.date.accessioned2026-07-07T05:21:46Z
dc.date.available2026-07-07T05:21:46Z
dc.descriptionLet $G$ be a finite $p$-group, where $p$ is an odd prime number, $H$ be a subgroup of $G$ and $θ\in \Irr(H)$ be an irreducible character of $H$. Assume also that $|G:H|=p^2$. Then the character $θ^G$ of $ G$ induced by $θ$ is either a multiple of an irreducible character of $G$, or has at least $\frac{p+1}{2}$ distinct irreducible constituents.
dc.description11 pages, corrected typos
dc.identifierhttps://arxiv.org/abs/math/0507335
dc.identifierhttp://arxiv.org/abs/math/0507335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75807
dc.subjectGroup Theory
dc.subject20c15
dc.titleInduction of Characters and Finite $p$-Groups
dc.typetext

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