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math.GR2025
On the number and sizes of double cosets of Sylow subgroups of the symmetric group
Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4
Let be a Sylow -subgroup of the symmetric group . We investigate the number and sizes of the double cosets, showing that most double cosets…
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…