Injective hom-complexity between groups
Cesar A. Ipanaque Zapata, Martha O. Gonzales Bohorquez
TL;DR
This paper introduces the concept of injective hom-complexity, linking group covering numbers to sectional numbers of homomorphisms, and offers estimates for calculating this new invariant.
Contribution
It defines injective hom-complexity and establishes a novel connection between group covering and sectional numbers, with methods for estimating this invariant.
Findings
Connection established between covering number and sectional number
Provided estimates for computing injective hom-complexity
Introduced a new invariant in group theory
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Finite Group Theory Research