in Wikipedia i read that: Every finitely generated group must be countable. why this is true?
if we change group condition to genererated left ideal, this ideal is countable?
2026-03-28 15:55:39.1774713339
countable generated left ideal
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Start with an uncountable group (or monoid) $G$. Then the left ideal generated by $1$ is $G$, which is not countable.