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»ã±¨ÌáÒª£ºGiven a field k, a group G and a subgroup H of G, we consider relations on representation dimensions of the group algebras kG and kH. This is done by applications of Frobenius extensions. In particular, we show that, for any subgroup H of a finite nilpotent group G, if [G:H] is invertible in the field, then the representation dimensions of kG and kH are the same.

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