Quasiisometric embeddings between right-angled Artin groups: rigidity

@misc{bader2026quasiisometric,
  title = {{Quasiisometric embeddings between right-angled Artin groups: rigidity}},
  author = {Shaked Bader and Oussama Bensaid and Harry Petyt},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.12300},
  eprint = {2605.12300},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.12300},
}

TY  - UNPB
TI  - Quasiisometric embeddings between right-angled Artin groups: rigidity
AU  - Shaked Bader
AU  - Oussama Bensaid
AU  - Harry Petyt
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2605.12300
UR  - https://arxiv.org/abs/2605.12300
AB  - We prove a range of rigidity results for quasiisometric embeddings between right-angled Artin groups. Among other things, we: (1) classify all self--quasiisometric-embeddings of RAAGs defined on cycles; (2) show that no n--dimensional RAAG is a universal receiver for quasiisometric embeddings of n--dimensional RAAGs. (3) prove that if the direct product F_2^n× A_C_5^m can be quasiisometrically embedded in a RAAG A_Γ of the same dimension, then the defining graph of F_2^n× A_C_5^m must appear as an induced subgraph of Γ; We also establish a strong rigidity theorem for quasiisometrically embedded images of 2--flats in RAAGs defined by triangle-free graphs that are not stars, generalising a theorem of Bestvina--Kleiner--Sageev.
ER  -