Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character

Autor:	Amin Saeidi
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Property (philosophy) General Mathematics 20c15 Algebra Nonlinear system Character (mathematics) Number theory Solvable group non-faithful characters frobenius groups minimal normal subgroups QA1-939 Algebra over a field Mathematics
Zdroj:	Open Mathematics, Vol 12, Iss 1, Pp 79-83 (2014)
ISSN:	2391-5455
Popis:	In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d107508835350f8622dafba2c442d8a https://doaj.org/article/e1a1eb771cc34f32bf91d0cf7d853041 Zobrazit plný text záznamu