Research presents a novel method for analyzing the decomposition of foulkes modules into specht modules, indicating complexities in partition structures.
Describing the decomposition of the Foulkes module Fbᵃ F b a into irreducible Specht modules is an open problem when both $$a,b > 3$$ a , b > 3 . In this article we provide a new approach for the Generalized Foulkes module Fνᵃ F ν a (with arbitrary partition ν ν of b ) through its restriction to a maximal Young subgroup Sb × Sab -b S b × S a b - b .
No takes yet. Share an insight, caveat, or question.
Hegedüs et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: