A locally finite group is a group for which every finitely generated subgroup is finite.
Since the cyclic subgroups of a locally finite group are finite, every element has finite order, and so the group is periodic.
Read more about Locally Finite Group: Examples and Non-examples, Properties
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“To see ourselves as others see us can be eye-opening. To see others as sharing a nature with ourselves is the merest decency. But it is from the far more difficult achievement of seeing ourselves amongst others, as a local example of the forms human life has locally taken, a case among cases, a world among worlds, that the largeness of mind, without which objectivity is self- congratulation and tolerance a sham, comes.”
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