TY  - JOUR
TI  - Finite Groups Having Monolithic Characters of Prime Degree
AB  - Let 𝐺 be a finite group. An irreducible character 𝜒 is called monolithic when the factor group 𝐺/ker(𝜒) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime 𝑞 dividing the order of 𝐺 if 𝐺 has a faithful imprimitive monolithic character of degree 𝑞, then 𝐺 becomes a nonabelian 𝑞-group or a Frobenius group with cyclic Frobenius complement whose order is 𝑞. Under certain conditions, we also classify finite groups in which their nonlinear irreducible characters are monolithic.
AU  - Çınarcı, Burcu
AU  - Erkoç, Temha
DO  - 10.29130/dubited.891767
PY  - 2021
JO  - Düzce Üniversitesi Bilim ve Teknoloji Dergisi
VL  - 9
IS  - 4
SN  - 2148-2446
SP  - 997
EP  - 1001
DB  - TRDizin
UR  - http://search/yayin/detay/497632
ER  -