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Normal subgroup based power graphs of a finite group

For a finite group G with a normal subgroup H, the normal subgroup H based power graph of G, denoted by ΓH(G), is a graph with V(ΓH(G)) = (G∖H)⋃{e} and ...

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  1. Normal subgroup
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  4. Commutator subgroup is normal
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  6. Conjugate subgroup
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  7. Subgroup of normal subgroup is normal
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  8. Proper subgroup
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