@article{article_891767, title={Finite Groups Having Monolithic Characters of Prime Degree}, journal={Duzce University Journal of Science and Technology}, volume={9}, pages={997–1001}, year={2021}, DOI={10.29130/dubited.891767}, author={Erkoç, Temha and Çınarcı, Burcu}, keywords={Finite groups, Monolithic characters, Primitive characters}, abstract={<p>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. <br /> <br /> </p>}, number={4}, publisher={Duzce University}, organization={TÜBİTAK}