Abelianization of the Cartwright-Steger lattice

G. Blachar, O. Selaśben-David, U. Vishn

Research output: Contribution to journalArticlepeer-review


The Cartwright-Steger lattice is a group whose Cayley graph can be identiőed with the Bruhat-Tits building of PGLd over a local őeld of positive characteristic. We give a lower bound on the abelianization of this lattice, and report that the bound is tight in all computationally accessible cases.

Original languageEnglish
Pages (from-to)176-186
Number of pages11
JournalAlgebra and Discrete Mathematics
Issue number2
StatePublished - 2023


  • Bruhat-Tits affne building
  • Cartwright-Steger lattice
  • abelianization

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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