The sectional number of a group homomorphism
Group Theory
2025-09-22 v1
Abstract
We explore the notion of sectional number of a group homomorphism, leading to a generalization of the covering number of a group, and present several characterizations when the sectional number is finite, providing estimates for computing this invariant.
Keywords
Cite
@article{arxiv.2509.15407,
title = {The sectional number of a group homomorphism},
author = {Cesar A. Ipanaque Zapata and Joe Palacios},
journal= {arXiv preprint arXiv:2509.15407},
year = {2025}
}
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