Ara
Toplam kayıt 4, listelenen: 1-4
Solvable groups having primitive characters of degree two
(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 ...
Linear group actions with at most three orbits of the largest size
(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 ...
MONOMIAL A D MONOLITHIC CHARACTERS OF FINITE SOLVABLE GROUPS
(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 ...
Finite solvable groups with two imprimitive monolithic characters
(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 ...