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单词 Fitting subgroup
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Fitting subgroup

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Fitting subgroup

In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G, named after Hans Fitting, is the unique largest normal nilpotent subgroup of G. Intuitively, it represents the smallest subgroup which "controls" the structure of G when G is solvable. When G is not solvable, a similar role is played by the generalized Fitting subgroup F, which is generated by the Fitting subgroup and the components of G.

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更新时间:2025/6/20 2:59:19