Abelianization of the Cartwright-Steger lattice

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

doi:10.12958/adm1966

Abelianization of the Cartwright-Steger lattice

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

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

The Cartwright-Steger lattice is a group whose Cayley graph can be identiőed with the Bruhat-Tits building of PGL_d 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 language	English
Pages (from-to)	176-186
Number of pages	11
Journal	Algebra and Discrete Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.12958/adm1966
State	Published - 2023

Keywords

Bruhat-Tits affne building
Cartwright-Steger lattice
abelianization

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.12958/adm1966

Cite this

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title = "Abelianization of the Cartwright-Steger lattice",

abstract = "The Cartwright-Steger lattice is a group whose Cayley graph can be identi{\H o}ed with the Bruhat-Tits building of PGLd over a local {\H o}eld 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.",

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Abelianization of the Cartwright-Steger lattice

Abstract

Keywords

ASJC Scopus subject areas

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