Browsing by Author "Çınarcı, Burcu"
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Finite solvable groups with few imprimitive irreducible characters
Erkoç, Temha; Çınarcı, Burcu (World Scientific, 2020)In this paper, we classify all finite solvable groups having at most two imprimitive irreducible characters. © 2022 World Scientific Publishing Company. 
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 ... 
Irreducible constituents of products of characters
Çınarcı, Burcu; Erkoç, Temha (Taylor & Francis Inc, 2019)In this article, we give some results about the relationship between the structure of a finite solvable group G and the kernels of irreducible constituents of the character where chi is an irreducible character of G. For ... 
The largest orbit sizes of linear group actions and abelian quotients
Çınarcı, Burcu; Keller, Thomas Michael (Academic Press Inc., 2024)Let G be a finite group and let V be a finite and faithful Gmodule such that V is completely reducible, possibly of mixed characteristic, or V is a Gmodule over a field of characteristic p with Op(G)=1. Suppose that M ... 
Linear group actions with at most three orbits of the largest size
Çınarcı, Burcu; Keller, Thomas Michael (Springer, 2023)Let G be a finite group and let V be a finite completely reducible faithful Gmodule, possibly of mixed characteristic. The second author and Yong Yang proved in previous work that  G: G′ ≤ M, where M is the largest orbit ... 
Monolithic characters of real groups
Erkoç, Temha; Çınarcı, Burcu (Taylor & Francis Inc, 2021)In this article, we are concerned with the nonlinear primitive and monolithic characters of a finite real group. We give some criteria for determining whether or not a finite group is real by using its monolithic characters. ... 
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 pcomplement and, if p ... 
A Note On Derived Length and Character Degrees
Çınarcı, Burcu; Erkoç, Temha (Cambridge Univ Press, 2021)Isaacs and Seitz conjectured that the derived length of a finite solvable group G is bounded by the cardinality of the set of all irreducible character degrees of G. We prove that the conjecture holds for G if the degrees ... 
Real characters, monolithic characters and the Taketa inequality
Çınarcı, Burcu; Erkoç, Temha (World Scientific Publ Co Pte Ltd, 2019)In this paper, we prove that the Taketa inequality, namely the derived length of a finite solvable group G is less than or equal to the number of distinct irreducible complex character degrees of C, is true under some ... 
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 ...