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The trivial intersection problem for characters of principal indecomposable modules |
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| Authors: | Conchita Martínez-Prez Wolfgang Willems |
| Institution: | aDepartamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain;bInstitut für Algebra und Geometrie, Fakultät für Mathematik, Otto-von-Guericke-Universität, 39016 Magdeburg, Germany |
| Abstract: | For a prime p and a finite group G let Φp(G) denote the complex character associated to the projective indecomposable module in characteristic p with trivial head. Let Irr(Φp(G)) denote the set of irreducible characters occurring as constituents in Φp(G). We characterize all finite simple groups which satisfy Irr(Φp(G))∩Irr(Φq(G))={1G} for all primes p≠q. |
| Keywords: | Finite simple group Irreducible character Principal indecomposable module Small rank permutation representation |
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