New posts in characteristic-subgroups

Give an example of a non abelian group $G$ and a subgroup $H\subset Z(G) $(proper subgroup) such that $H$ is not characteristic subgroup of $G$

group-theory examples-counterexamples normal-subgroups automorphism-group characteristic-subgroups

$G$ is characteristically simple $\iff$ there is simple $T$ such that $G \cong T\times T \times \cdots \times T$

group-theory finite-groups simple-groups characteristic-subgroups

Commutator subgroup $G'$ is a characteristic subgroup of $G$

abstract-algebra group-theory characteristic-subgroups derived-subgroup

Does there exist some sort of classification of finite verbally simple groups?

abstract-algebra group-theory finite-groups verbal-subgroups characteristic-subgroups