Speakur

Word Pronunciation & Dictionary

kazhdan-margulis theorem

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
kazh-dan--mar-gulis the-o-rem
IPA
47
Scrabble Score
22
Letters
7
Syllables
16
Unique Chars

Meaning

name

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.

Etymology

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

Inflected Forms

the Kazhdan-Margulis theorem (canonical)

Questions

What does kazhdan-margulis theorem mean?
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.
Where does kazhdan-margulis theorem come from?
Proven in the 1960s by David Kazhdan and Grigory Margulis.

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