## Dimension of the radical of the tensor product

Hi, are there any useful formulas for $dim_{k}(rad(M \otimes_{k} N))$(for example relating it do $dim_{k} M$ and $dim_{k} N$ and $dim_{k} rad(M)$and $dim_{k} radN$) where M and N are finite-dimensional KG modules(Characteristic p) and G is a finite group with p divides the order(or some interesting specialisation like a p-group if you want) Thank you!

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