Characteristic Subgroup is Transitive
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Theorem
Let $G$ be a group.
Let $H$ be a characteristic subgroup of $G$.
Let $K$ be a characteristic subgroup of $H$.
Then $K$ is a characteristic subgroup of $G$.
Proof
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Sources
- Allan Clark: Elements of Abstract Algebra (1971)... (previous)... (next): $\S 64 \delta$
