Let $G$ be a group and $H$ a subgroup of $G$. Given a subgroup $A \leq G$, what does it mean for $A$ to be finitely generated over the subgroup $H$? Similarly, what does it mean for $A$ to be finitely generated as an $H$-group?
2026-03-29 23:33:33.1774827213
Meaning of finite generation *over a subgroup*
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