The structure of locally soluble periodic groups in which every abelian subgroup is locally cyclic was described over 20 years ago. We complete the aforementioned characterization by dealing with the non-periodic case. We also describe the structure of locally finite groups in which all abelian subgroups are locally cyclic.

中文翻译：

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在所有阿贝尔子群都是局部循环的无限群上

20 多年前描述了局部可溶周期群的结构，其中每个阿贝尔子群都是局部循环的。我们通过处理非周期性情况来完成上述表征。我们还描述了局部有限群的结构，其中所有阿贝尔子群都是局部循环的。