Sylow branching coefficients and hook partitions
We give a description of the irreducible constituents of the restriction to Sylow 2-subgroups of irreducible characters of symmetric groups labelled by hook partitions.
math.RT↗
arXiv subjects
Publications and source records attributed to Giada Volpato.
We give a description of the irreducible constituents of the restriction to Sylow 2-subgroups of irreducible characters of symmetric groups labelled by hook partitions.
We study the restriction to Sylow subgroups of irreducible characters of symmetric groups. In particular, we focus our attention on constituents of degree greater than 1. Our main result is a wide generalization of Theorem 3.1 of Giannelli and Navarro, "Restricting irreducible characters to Sylow p-subgroups".