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accepted  How does one compute induced representations for modular representations? 
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How does one compute induced representations for modular representations?
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How does one compute induced representations for modular representations?
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How does one compute induced representations for modular representations?
I'm not sure what you mean... I am given all the character tables. Here's what I mean: $Ind^G_H(\rho)=\sum a_i\chi_i$. $(Ind^G_H(\rho),\chi_i)=a_i$, and so if we can compute all the $(Ind^G_H(\rho),\chi_i)'s$ then we're done. Frobenius reciprocity does indeed allow to compute those. I know what all the $\chi_i$'s are because I'm given the character tables of $G$ and $H$. Am I missing something? 
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