Lagrange's theorem

noun

The theorem in group theory that for any finite group, the size (order) of any subgroup must be a divisor of that of the group itself.

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Meanings

nounLagrange's theorem (uncountable)
  1. uncountablealgebraThe theorem in group theory that for any finite group, the size (order) of any subgroup must be a divisor of that of the group itself.

Origin

Named after Joseph Louis Lagrange (1736–1813), an Italian Enlightenment Era mathematician and astronomer.

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Cite this entry
APA

Lagrange's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Lagrange's%20theorem

MLA

“Lagrange's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lagrange's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lagrange's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Lagrange's%20theorem.

Source: Lagrange's theorem on Wiktionary, CC BY-SA 4.0.