Browsing by ORCID "0000-0003-1202-0968"

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Finite solvable groups with two imprimitive monolithic characters

Çınarcı, Burcu (World Scientific Publishing, 2023)

Let G be a finite group and let χ be an irreducible character of G. If G/kerχ has a unique minimal normal subgroup, then χ is called monolithic. The character χ is said to be imprimitive if χ is induced from a character ...
MONOMIAL A D MONOLITHIC CHARACTERS OF FINITE SOLVABLE GROUPS

Çınarcı, Burcu (Cambridge University Press, 2022)

Let G be a finite solvable group and let p be a prime divisor of vertical bar G vertical bar. We prove that if every monomial monolithic character degree of G is divisible by p, then G has a normal p-complement and, if p ...
Solvable groups having primitive characters of degree two

Çınarcı, Burcu; Erkoç, Temha (2022)

In this paper, we are interested in the classification of finite solvable groups having primitive characters of degree two. We first determine all finite solvable groups having both a faithful primitive character of degree ...