Last Updated
：2025/11/21
normal subgroup
Noun
Japanese Meaning
正規部分群：群論において、群 G の部分群 H が任意の g ∈ G と h ∈ H に対し、ghg⁻¹ ∈ H となる場合、H は G の正規部分群と呼ばれる。
（ plural ）
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(group theory) A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg⁻¹ is in H.
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normal subgroup
If every conjugate of an element of H lies in H, then H is a normal subgroup of G.
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If every conjugate of an element of H lies in H, then H is a normal subgroup of G.
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