Add to ORKGWe survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite 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
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
[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 the...
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...
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 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...
AbstractWe establish several new bounds for the number of conjugacy classes of a finite group, all o...
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...
[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 the...
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...
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 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...
AbstractWe establish several new bounds for the number of conjugacy classes of a finite group, all o...
Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
summary:Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conj...