In this talk, we introduce a new definition called “strongly monolithic characters”
and give some results on relationships between the structure of a finite group and
its strongly monolithic characters.

Keywords. Finite groups; solvable groups; strongly monolithic characters.

(Joint work with Temha Erkoç and Sultan Bozkurt Güngör.)

References
[1] T. Erkoç, S. Bozkurt Güngör, J.M. Özkan, Strongly Monolithic Characters of Finite
Groups, Journal of Algebra and Its Applications, 22(8), (2023), 2350176.