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arXiv · 2509.15407

The sectional number of a group homomorphism

Cesar A. Ipanaque Zapata·Joe Palacios
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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.

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Cesar A. Ipanaque Zapata, Joe Palacios. 2025-09-18. The sectional number of a group homomorphism. https://arxiv.org/abs/2509.15407

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