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This page will contain descriptions of reduction techniques and results.

Donovan's conjecture

For the statement of the conjecture click here.

[math]k[/math]-Donovan conjecture

[math]P[/math] abelian: To show the [math]k[/math]-Donovan conjecture for abelian [math]p[/math]-groups, it suffices to verify the Weak Donovan conjecture for blocks of quasisimple groups with abelian defect groups. See [EL18b], [FK18].