Fitting subgroup

noun

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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Meanings

nounFitting subgroup (plural Fitting subgroups)

plural Fitting subgroups

  1. mathematicsFor 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.

Origin

Named after Hans Fitting.

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Cite this entry
APA

Fitting subgroup. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Fitting%20subgroup

MLA

“Fitting subgroup.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fitting%20subgroup. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fitting subgroup,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Fitting%20subgroup.

Source: Fitting subgroup on Wiktionary, CC BY-SA 4.0.