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On functional equations for meromorphic functions and applications
Authors:Ha Huy Khoai  Vu Hoai An  Pham Ngoc Hoa
Institution:1.Lehrstuhl B für Mathematik,Aachen,Germany
Abstract:Donovan’s conjecture states that there exist only finitely many Morita equivalence classes of p-blocks with a given defect. This conjecture was shown by Radha Kessar to be equivalent to two other conjectures, one of which is that the basic algebras of p-blocks with a given defect can all be defined over a single finite field. We shall show that this latter conjecture is equivalent to the seemingly stronger statement that all p-blocks with a given defect can be defined over a single finite field.
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