English

Cubical small-cancellation quotients of non-products

Group Theory 2025-09-18 v1

Abstract

We show that if XX is a compact nonpositively curved cube complex which is a non-product, then π1X\pi_1 X has a proper quotient that is π1\pi_1 of a cube complex with these same properties.

Keywords

Cite

@article{arxiv.2509.13447,
  title  = {Cubical small-cancellation quotients of non-products},
  author = {Macarena Arenas and Kasia Jankiewicz and Daniel T. Wise},
  journal= {arXiv preprint arXiv:2509.13447},
  year   = {2025}
}

Comments

39 pages, 7 figures. Comments are welcome!