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

Jordan Valley

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

Bibliographical note

Publisher Copyright:
© Algebra and Discrete Mathematics.

Funding

∗Partially supported by an ISF grant #1994/20. 2020 MSC: 20E42. Key words and phrases: Bruhat-Tits affine building, Cartwright-Steger lattice, abelianization.

Funders	Funder number
Israel Science Foundation	20E42, 1994/20

Keywords

Bruhat-Tits affne building
Cartwright-Steger lattice
abelianization

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10.12958/adm1966

Cite this

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Abelianization of the Cartwright-Steger lattice

Abstract

Bibliographical note

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Keywords

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