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math.GR2025
Injective hom-complexity between groups
Cesar A. Ipanaque Zapata, Martha O. Gonzales Bohorquez
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 esti…
math.GR2025
The sectional number of a group homomorphism
Cesar A. Ipanaque Zapata, Joe Palacios
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 sec…