Add to ORKGWe survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an in uence on the normal structure of a nite group. The approach is mainly presented in the framework of graphs associated to the conjugacy classes, which have been introduced and developed in the past few years. We will see how the properties of these graphs, along with some extensions of the classic Landau's Theorem on conjugacy classes for normal subgroups, have been used in order to classify groups and normal subgroups satisfying certain conjugacy class numerical conditions.Some of the results of this paper are part of the third author's Ph.D. thesis at the University Jaume I of Castellón, who is financially suppor...
If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy c...
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and the...
Let G be a finite group and let N be a normal subgroup of G. We determine the structure of N when th...
Let G be a finite group and let N be a normal subgroup of G. We determine the structure of N when th...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy c...
Let G be a finite group and let N be a normal subgroup of G. We attach to N two graphs ΓG(N) and Γ∗...
If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy c...
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K...
[EN] We survey known results concerning how the conjugacy classes contained in a normal subgroup and...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and thei...
We survey known results concerning how the conjugacy classes contained in a normal subgroup and the...
Let G be a finite group and let N be a normal subgroup of G. We determine the structure of N when th...
Let G be a finite group and let N be a normal subgroup of G. We determine the structure of N when th...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class s...
If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy c...
Let G be a finite group and let N be a normal subgroup of G. We attach to N two graphs ΓG(N) and Γ∗...
If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy c...
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K...