English

Explicit Constructions of Ramanujan Complexes of Type $\tilde{A}_d$

Combinatorics 2007-05-23 v2 Group Theory

Abstract

In this paper we present for every d2d \geq 2 and every local field FF of positive characteristic, explicit constructions of Ramanujan complexes which are quotients of the Bruhat-Tits building \Bd(F)\B_d(F) associated with PGLd(F)\operatorname{PGL}_d(F).

Keywords

Cite

@article{arxiv.math/0406217,
  title  = {Explicit Constructions of Ramanujan Complexes of Type $\tilde{A}_d$},
  author = {Alex Lubotzky and Beth Samuels and Uzi Vishne},
  journal= {arXiv preprint arXiv:math/0406217},
  year   = {2007}
}

Comments

minor corrections

R2 v1 2026-07-22T17:06:33.216Z