Marty Isaacs
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Registered User
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Jun 14 |
awarded | ● Necromancer |
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Apr 19 |
comment |
Information about permutation character from local action Look at the case where the action of G is 3-transitive. Then a point stabilizer is 2-transitive on its (unique) nontrivial orbit. In this case the permutation character of G is the sum of the principal character and one other irreducible, so the (unique) nontrivial irreducible constituent has multiplicity 1. Thus 1 is the best possible lower bound on the multiplicities. That's not very interesting, so I wonder if the first question contains an error, and "upper bound" is intended in place of "lower bound" |
