Degrees of faithful irreducible representations of metabelian groups

Autor:	Soham Swadhin Pradhan, Rahul Dattatraya Kitture
Rok vydání:	2021
Předmět:	Mathematics::Group Theory Pure mathematics Algebra and Number Theory Degree (graph theory) Applied Mathematics Irreducible representation Field (mathematics) Metacyclic group Mathematics
Zdroj:	Journal of Algebra and Its Applications. 21
ISSN:	1793-6829 0219-4988
DOI:	10.1142/s021949882250181x
Popis:	In 1993, Sim proved that all the faithful irreducible representations of a finite metacyclic group over any field of positive characteristic have the same degree. In this paper, we restrict our attention to non-modular representations and generalize this result for — (1) finite metabelian groups, over fields of positive characteristic coprime to the order of groups, and (2) finite groups having a cyclic quotient by an abelian normal subgroup, over number fields.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::abc88201e5a875f69a7fa097c939a914 https://doi.org/10.1142/s021949882250181x Zobrazit plný text záznamu