True or false? Every subgroup H of a group G is a union of cyclic subgroups of G.
I think it is false,but cant think of counter example
2026-03-29 08:44:23.1774773863
Every subgroup is a union of cyclic subgroups of its group.
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True. If $H$ is a subgroup of $G$, then $H=\bigcup_{h\in H}\langle h\rangle$.