query: About a weaker form of normal subgroup definition
positive_passages.docid: 41085
positive_passages.text: Conjugate subgroup strictly contained in the initial subgroup?
negative_passages.docid: 141265
negative_passages.text: Finding a normal and not normal subgroup of $S_3$
negative_passages.docid: 23941
negative_passages.text: Normal Subgroups that Intersect Trivially
negative_passages.docid: 151130
negative_passages.text: When is the product of $n$ subgroups a subgroup?
negative_passages.docid: 112263
negative_passages.text: an example for $\pi$-quasinormal subgroup but is not normal
negative_passages.docid: 11731
negative_passages.text: Normal subgroups of $S_4$
negative_passages.docid: 99114
negative_passages.text: Subgroups of index 3 are normal
negative_passages.docid: 48273
negative_passages.text: If a maximal subgroup is normal, it has prime index
negative_passages.docid: 115204
negative_passages.text: Show that SO(n) is a normal subgroup of O(n)
negative_passages.docid: 13523
negative_passages.text: Are normal subgroups transitive?
negative_passages.docid: 75568
negative_passages.text: Subgroup of index $2$ is Normal
negative_passages.docid: 104505
negative_passages.text: Is every normal subgroup the kernel of some endomorphism?
negative_passages.docid: 4883
negative_passages.text: Let $H$ be a subgroup of a group $G$ such that $x^2 \in H$ , $\forall x\in G$ . Prove that $H$ is a normal subgroup of $G$
negative_passages.docid: 125498
negative_passages.text: Check whether subgroup is normal in $ S_4$
negative_passages.docid: 137691
negative_passages.text: What are the self-normalizing subgroups of $S_n$?
negative_passages.docid: 54911
negative_passages.text: The preimage of a normal subgroup under a group homomorphism is normal
negative_passages.docid: 61373
negative_passages.text: A normal subgroup that is not a characteristic