2025/12/24 by Peter V. Danchev, Patrick W. Keef, Danchev, Peter V. +1
Mathematics · #Geometric and Algebraic Topology #Advanced Topology and Set Theory #Advanced Operator Algebra Research
paper · doi:10.48550/arxiv.2512.21223
We completely describe in certain important cases the class of commutative co-finitely Hopfian groups as defined by Bridson-Groves-Hillman- Martin in the journal Groups, Geometry, and Dynamics on 2010 (see [3]). We also consider and give a satisfactory description of several related classes of commutative groups. We also discuss in the commutative case a slightly more general version of co-finitely Hopfian groups called almost co-finitely Hopfian groups, as well as a more general version of Hopfian groups called almost finitely Hopfian groups.