Abstract
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs (constructed in [LPS]). They are obtained as quotients of the buildings of type Ãd-1 associated with PGLd(F) where F is a local field of positive characteristic.
Original language | English |
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Pages (from-to) | 267-299 |
Number of pages | 33 |
Journal | Israel Journal of Mathematics |
Volume | 149 |
DOIs | |
State | Published - 2005 |