Donovan's conjecture asserts that, over a fixed algebraically closed field 
of prime characteristic 
, only finitely many Morita
equivalence classes of blocks of finite group
algebras have a given defect group. A bounded-defect
formulation allows any defect group of order at most
a fixed integer 
. The ambient finite groups
are unrestricted.
Donovan Conjecture
See also
Block of a Group Algebra, Defect Group, Morita Equivalence, Witt VectorExplore with Wolfram|Alpha
References
Eaton, C. W.; Eisele, F.; and Livesey, M. "Donovan's Conjecture, Blocks with Abelian Defect Groups and Discrete Valuation Rings." Math. Z. 295, 249-264, 2020. https://doi.org/10.1007/s00209-019-02354-1.Cite this as:
Weisstein, Eric W. "Donovan Conjecture." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DonovanConjecture.html