On generalized $\unicode{x00A3}$-cotorsion LCA groups

TL;DR

This paper characterizes generalized £-cotorsion locally compact abelian groups by identifying their structure as groups containing an open £-cotorsion subgroup with a cotorsion quotient.

Contribution

It provides a complete classification of generalized £-cotorsion LCA groups, extending the understanding of their structure in the context of locally compact abelian groups.

Findings

Characterization of generalized £-cotorsion LCA groups

Identification of open £-cotorsion subgroups

Description of the quotient as cotorsion group

Abstract

A locally compact abelian group $G$ is called a generalized $\unicode{x00A3}$-cotosion group if $G$ contains an open $\unicode{x00A3}$-cotosion subgroup $H$ such that $G/H$ is a cotorsion group. In this paper, we determine the generalized $\unicode{x00A3}$-cotorsion LCA groups.