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On Primary Abelian Groups Modulo Finite Subgroups |
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| Authors: | Peter Danchev |
| Institution: | 1. Mathematics Faculty , Plovdiv State University, Paisii Hilendarski , Plovdiv, Bulgaria pvdanchev@yahoo.com |
| Abstract: | We study the existence of several classes 𝒦 of Abelian p-groups, p a fixed prime, which possess the following property: A ∈ 𝒦?A/F ∈ 𝒦, whenever F is a finite subgroup of the Abelian p-group A. |
| Keywords: | Almost totally projective groups C λ-groups Groups with a nice basis Σ-groups p ω+n -projective groups Minimal groups Summable groups σ-Summable groups Totally projective groups |