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Spin characters of the alternating group which are proportional to linear characters in characteristic 2
Eoghan McDowell
We classify when a spin and a non-spin irreducible character of the alternating group have proportional 2-modular reductions. Equivalently, we classify when such a pair of characte…
Spin characters of symmetric and alternating groups which are proportional in characteristic 3
Matthew Fayers, Eoghan McDowell
Let be a finite group and a prime. It is interesting to determine when two ordinary irreducible representations of have the same -modular reduction; this is the same…
Degrees and prime power order zeros of characters of symmetric and alternating groups
Eugenio Giannelli, Stacey Law, Eoghan McDowell
We show that the -part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of -power order. As a corollar…
Spin characters of the symmetric group which are proportional to linear characters in characteristic 2
Matthew Fayers, Eoghan McDowell
For a finite group, it is interesting to determine when two ordinary irreducible representations have the same -modular reduction; that is, when two rows of the decomposition ma…