Yazar "Çınarcı, Burcu" için listeleme
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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 G-module such that V is completely reducible, possibly of mixed characteristic, or V is a G-module 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 G-module, 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 p-complement 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 ...
