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math.RT2024
Sylow branching trees for symmetric groups
Eugenio Giannelli, Stacey Law
Let be a prime and let be a Sylow -subgroup of a finite symmetric group. To every irreducible character of we associate a collection of labelled, complete -a…
math.GR2024
Characters and Sylow -subgroup abelianization
Eugenio Giannelli, Noelia Rizo, A. A. Schaeffer Fry +1
We characterize when a finite group G possesses a Sylow 3-subgroup P with abelianization of order 9 in terms of the number of height zero characters lying in the principal 3-block…