English Explanatory Dictionary

Kazhdan-Margulis theorem

English dictionary entry

Meanings

name
  1. 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.

Word forms

Kazhdan-Margulis theorem the Kazhdan-Margulis theorem

Etymology

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

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