Last Updated :2025/11/30

Fitting subgroup

Noun
Japanese Meaning
数学において、有限群 G に対して、G が可解な場合に直観的に「制御する」部分群とみなされる、唯一かつ最大の正規なニルポテント部分群。
What is this buttons?

可解な有限群 G を解析する際、フィッティング部分群(G における一意の最大の正規ニルポテント部分群)はしばしば G の構造を支配するニルポテント核を明らかにする。

plural

Quizzes for review

(mathematics) For a finite group G: the unique largest normal nilpotent subgroup of G, which intuitively represents the smallest subgroup that controls the structure of G when G is solvable.

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Fitting subgroup

When analyzing the solvable finite group G, the Fitting subgroup often reveals the nilpotent core that controls G's structure.

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When analyzing the solvable finite group G, the Fitting subgroup often reveals the nilpotent core that controls G's structure.

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