66 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.Also we prove that c (1) has at most eta( c ) distinct prime divisors and 1 ∈ {ai | i = 1,...,eta( c )} if G is solvable and c (1) > 1.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD
AbstractLet G be a finite solvable group, and let F(G) be its Fitting subgroup. We prove that there ...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
We study the solvable groups G that have an irreducible character χ ∈ Irr(G) such that χ--χ has at m...
66 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.Also we prove that c (1) has...
AbstractLet G be a finite solvable group and χ∈Irr(G) be a faithful character. We show that the deri...
Let G be a finite solvable group and chi, psi is an element of Irr(G) be complex characters of G. Le...
Abstract. Let G be a finite group. We denote by ρ(G) the set of primes which divide some character d...
Isaacs and Seitz have conjectured that the derived length of a finite solvable group G is bounded by...
It has been conjectured that if the number of distinct irreducible constituents of the product of tw...
In this article, we give some results about the relationship between the structure of a finite solva...
AbstractIn the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of ...
Motivated by Isaacs and Passman's characterization of finite groups all of whose nonlinear comp...
Wreath product constructions has been used to obtain for any positive integer n, solvable groups of ...
Let G be a finite group with the degree set cd(G) of its complex irreducible characters. We call tha...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
AbstractLet G be a finite solvable group, and let F(G) be its Fitting subgroup. We prove that there ...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
We study the solvable groups G that have an irreducible character χ ∈ Irr(G) such that χ--χ has at m...
66 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.Also we prove that c (1) has...
AbstractLet G be a finite solvable group and χ∈Irr(G) be a faithful character. We show that the deri...
Let G be a finite solvable group and chi, psi is an element of Irr(G) be complex characters of G. Le...
Abstract. Let G be a finite group. We denote by ρ(G) the set of primes which divide some character d...
Isaacs and Seitz have conjectured that the derived length of a finite solvable group G is bounded by...
It has been conjectured that if the number of distinct irreducible constituents of the product of tw...
In this article, we give some results about the relationship between the structure of a finite solva...
AbstractIn the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of ...
Motivated by Isaacs and Passman's characterization of finite groups all of whose nonlinear comp...
Wreath product constructions has been used to obtain for any positive integer n, solvable groups of ...
Let G be a finite group with the degree set cd(G) of its complex irreducible characters. We call tha...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
AbstractLet G be a finite solvable group, and let F(G) be its Fitting subgroup. We prove that there ...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
We study the solvable groups G that have an irreducible character χ ∈ Irr(G) such that χ--χ has at m...