31 citations · 54 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
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…
Character degrees in blocks and defect groups
Eugenio Giannelli, J. Miquel Martínez, A. A. Schaeffer Fry
A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a…
Groups with few -character degrees
Eugenio Giannelli, Noelia Rizo, Mandi Schaeffer Fry
We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group contains only two distinct values not divisible by a given prim…
Hausdorff dimension in -analytic profinite groups
Gustavo A. Fernández-Alcober, Eugenio Giannelli, Jon González-Sánchez
We study the Hausdorff dimension of R-analytic subgroups in an R-analytic profinite group, where R is a pro-p ring whose asso- ciated graded ring is an integral domain. In particul…