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Feb 4, 2023 at 15:47 comment added YCor I agree: I think that "finitely presented over $G$" is the right terminology (in general in universal algebra, hence for groups as well).
Feb 4, 2023 at 15:21 vote accept tomasz
Feb 5, 2023 at 14:20
Feb 4, 2023 at 15:19 history answered Achim Krause CC BY-SA 4.0