Kazhdan-Margulis theorem

proper noun

A statement asserting that a discrete subgroup in semisimple Lie groups cannot be too dense in the group. More precisely, in any such Lie group there is a uniform neighborhood of the identity element such that every lattice in the group has a conjugate whose intersection with this neighborhood contains only the identity.

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Meanings

proper nounthe Kazhdan-Margulis theorem
  1. mathematicsA statement asserting that a discrete subgroup in semisimple Lie groups cannot be too dense in the group. More precisely, in any such Lie group there is a uniform neighborhood of the identity element such that every lattice in the group has a conjugate whose intersection with this neighborhood contains only the identity.

Origin

Proven in the 1960s by David Kazhdan and Grigory Margulis.

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Cite this entry
APA

Kazhdan-Margulis theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Kazhdan-Margulis%20theorem

MLA

“Kazhdan-Margulis theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Kazhdan-Margulis%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kazhdan-Margulis theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Kazhdan-Margulis%20theorem.

Source: Kazhdan-Margulis theorem on Wiktionary, CC BY-SA 4.0.