English

Injective hom-complexity between groups

Group Theory 2026-01-01 v1

Abstract

We present the notion of injective hom-complexity, leading to a connection between the covering number of a group and the sectional number of a group homomorphism, and provide estimates for computing this invariant.

Keywords

Cite

@article{arxiv.2512.24608,
  title  = {Injective hom-complexity between groups},
  author = {Cesar A. Ipanaque Zapata and Martha O. Gonzales Bohorquez},
  journal= {arXiv preprint arXiv:2512.24608},
  year   = {2026}
}

Comments

13 pages. Comments are welcome

R2 v1 2026-07-01T08:46:30.612Z