arXiv Open Access 2020

Quasi-isometry invariants of weakly special square complexes

Sangrok Oh

Lihat Sumber

Abstrak

We define the intersection complex for the universal cover of a compact weakly special square complex and show that it is a quasi-isometry invariant. By using this quasi-isometry invariant, we study the quasi-isometric classification of 2-dimensional right-angled Artin groups and planar graph 2-braid groups. Our results cover two well-known cases of 2-dimensional right-angled Artin groups: (1) those whose defining graphs are trees and (2) those whose outer automorphism groups are finite. Finally, we show that there are infinitely many graph 2-braid groups which are quasi-isometric to right-angled Artin groups and infinitely many which are not.

Topik & Kata Kunci

math.GR math.GT

Penulis (1)

Sangrok Oh

Format Sitasi

APA MLA BibTeX

Oh, S. (2020). Quasi-isometry invariants of weakly special square complexes. https://arxiv.org/abs/2009.03865

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓