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7

Both algebraical constructs can be expressed using modulo. Factorized constructs like $F/\sigma_n$ are read F durch die symmetrische Gruppe or F (faktorisiert) nach der symmetrischen Gruppe or F modulo symmetrische Gruppe or F modulo der symmetrischen Gruppe (I haven't heard anybody say F modulo die symmetrische Gruppe but I wouldn't even bother if I ...

3

I do not know if I am an expert, but I am a German mathematician. I would use the genitive case.

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