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

• Autorzy: Amin Saeidi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Minimal normal subgroups; Non-faithful characters; Frobenius groups

Kategorie tematyczne

• 20C15: Ordinary representations and characters

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 1
• Strony: 79-83

Daty

wydano

2014-01-01

online

2013-10-30

Twórcy

autor

Amin Saeidi

• Kharazmi University

Bibliografia

• [1] Aschbacher M., Finite Group Theory, Cambridge Stud. Adv. Math., 10, Cambridge University Press, Cambridge, 1986
• [2] Iranmanesh A., Saeidi A., Finite groups with a unique nonlinear nonfaithful irreducible character, Arch. Math. (Brno), 2011, 47(2), 91–98
• [3] Seitz G.M., Finite groups having only one irreducible representation of degree greater than one, Proc. Amer. Math. Soc., 1968, 19, 459–461 http://dx.doi.org/10.1090/S0002-9939-1968-0222160-X

Identyfikatory

DOI

10.2478/s11533-013-0327-4