Carlson, Jon F.; Green, Edward L.; Schneider, Gerhard J. A. Computing Ext algebras for finite groups. (English) Zbl 0889.20007 J. Symb. Comput. 24, No. 3-4, 317-325 (1997). 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. Reviewer: M.Golasiński (Toruń) Cited in 1 ReviewCited in 4 Documents 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 Keywords:cup products; Ext algebras; irreducible modules; simple \(kG\)-modules; Morita equivalence; projective covers; algorithms; multiplication tables PDFBibTeX XMLCite \textit{J. F. Carlson} et al., J. Symb. Comput. 24, No. 3--4, 317--325 (1997; Zbl 0889.20007) Full Text: DOI