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Computing Ext algebras for finite groups. (English) Zbl 0889.20007

Let \(G\) be a finite group, \(k\) a field of characteristic \(p>0\) and \(T\) the direct sum of irreducible \(kG\)-modules. The authors describe a program for computing the algebra \(\text{Ext}^\ast_{kG}(T,T)\) and write down a multiplication table for that algebra. Some comments and remarks on the scope and difficulties of the project conclude the paper.

MSC:

20C40 Computational methods (representations of groups) (MSC2010)
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
68W30 Symbolic computation and algebraic computation
16S34 Group rings
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