| Abstrakt: |
Let n be a non-negative integer. Combining algebraic and combinatorial techniques, we investigate for which pairs (G,\rho) of a subgroup G of the symmetric group S_n and an irreducible character \rho of G the induced character \rho \!\uparrow ^{S_n} is multiplicity-free. As a result, for n\geq 66, we classify all subgroups G\leq S_n which give rise to such a pair. Moreover, for the majority of these groups G we identify all the possible choices of the irreducible character \rho, assuming n\geq 73. [ABSTRACT FROM AUTHOR] |
