# Difference between revisions of "Reductions"

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=== <math>k</math>-Donovan conjecture === | === <math>k</math>-Donovan conjecture === | ||

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+ | '''<math>P</math> abelian:''' To show the <math>k</math>-Donovan conjecture for abelian <math>p</math>-groups, it suffices to verify the [[Statements of conjectures#WeakDonovan conjecture|Weak Donovan conjecture]] for blocks of quasisimple groups with abelian defect groups. See [[References|[EL18b], [FK18]]]. |

## Revision as of 18:28, 23 September 2018

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].