Kazhdan-Margulis theorem

English

Etymology

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

Proper noun

the Kazhdan-Margulis theorem

1. (mathematics) 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.