AbstractIsaacs conjectured that if G is solvable and α and β are faithful characters of G such that αβ is irreducible, then G is cyclic. In this paper, we shall prove that the conjecture holds if either G is an M-group or G has Fitting height at most 4
It has been conjectured that if the number of distinct irreducible constituents of the product of tw...
In this paper, we prove the Character Triple Conjecture for p-solvable groups. This is a conjecture ...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
AbstractIsaacs conjectured that if G is solvable and α and β are faithful characters of G such that ...
AbstractIn this paper, we show that if for every nonlinear complex irreducible character χ of a fini...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
AbstractThe results of this paper are as follows: for a finite group G, if all primitive irreducible...
AbstractWe study the solvable groups G that have an irreducible character χ∈Irr(G) such that χχ¯ has...
In this article, we give some results about the relationship between the structure of a finite solva...
We give new evidences to the fact that the structure of a solvable group can be controlled by irredu...
AbstractLet G be a finite solvable group, p be some prime, let P be a Sylow p-subgroup of G, and let...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
Isaacs and Seitz have conjectured that the derived length of a finite solvable group G is bounded by...
Let F(G) and b(G) respectively denote the Fitting subgroup and the largest degree of an irreducible ...
AbstractThe aim of this paper is to investigate the finite solvable groups with at most two nonlinea...
It has been conjectured that if the number of distinct irreducible constituents of the product of tw...
In this paper, we prove the Character Triple Conjecture for p-solvable groups. This is a conjecture ...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
AbstractIsaacs conjectured that if G is solvable and α and β are faithful characters of G such that ...
AbstractIn this paper, we show that if for every nonlinear complex irreducible character χ of a fini...
AbstractAn irreducible complex character of a finite group is called monomial if it is induced from ...
AbstractThe results of this paper are as follows: for a finite group G, if all primitive irreducible...
AbstractWe study the solvable groups G that have an irreducible character χ∈Irr(G) such that χχ¯ has...
In this article, we give some results about the relationship between the structure of a finite solva...
We give new evidences to the fact that the structure of a solvable group can be controlled by irredu...
AbstractLet G be a finite solvable group, p be some prime, let P be a Sylow p-subgroup of G, and let...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
Isaacs and Seitz have conjectured that the derived length of a finite solvable group G is bounded by...
Let F(G) and b(G) respectively denote the Fitting subgroup and the largest degree of an irreducible ...
AbstractThe aim of this paper is to investigate the finite solvable groups with at most two nonlinea...
It has been conjectured that if the number of distinct irreducible constituents of the product of tw...
In this paper, we prove the Character Triple Conjecture for p-solvable groups. This is a conjecture ...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
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